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Publisher: Elsevier   (Total: 3161 journals)

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Showing 1 - 200 of 3161 Journals sorted alphabetically
A Practical Logic of Cognitive Systems     Full-text available via subscription   (Followers: 9)
AASRI Procedia     Open Access   (Followers: 15)
Academic Pediatrics     Hybrid Journal   (Followers: 33, SJR: 1.655, CiteScore: 2)
Academic Radiology     Hybrid Journal   (Followers: 23, SJR: 1.015, CiteScore: 2)
Accident Analysis & Prevention     Partially Free   (Followers: 94, SJR: 1.462, CiteScore: 3)
Accounting Forum     Hybrid Journal   (Followers: 25, SJR: 0.932, CiteScore: 2)
Accounting, Organizations and Society     Hybrid Journal   (Followers: 34, SJR: 1.771, CiteScore: 3)
Achievements in the Life Sciences     Open Access   (Followers: 5)
Acta Anaesthesiologica Taiwanica     Open Access   (Followers: 7)
Acta Astronautica     Hybrid Journal   (Followers: 411, SJR: 0.758, CiteScore: 2)
Acta Automatica Sinica     Full-text available via subscription   (Followers: 2)
Acta Biomaterialia     Hybrid Journal   (Followers: 27, SJR: 1.967, CiteScore: 7)
Acta Colombiana de Cuidado Intensivo     Full-text available via subscription   (Followers: 2)
Acta de Investigación Psicológica     Open Access   (Followers: 3)
Acta Ecologica Sinica     Open Access   (Followers: 10, SJR: 0.18, CiteScore: 1)
Acta Haematologica Polonica     Free   (Followers: 1, SJR: 0.128, CiteScore: 0)
Acta Histochemica     Hybrid Journal   (Followers: 3, SJR: 0.661, CiteScore: 2)
Acta Materialia     Hybrid Journal   (Followers: 250, SJR: 3.263, CiteScore: 6)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5, SJR: 0.504, CiteScore: 1)
Acta Mechanica Solida Sinica     Full-text available via subscription   (Followers: 9, SJR: 0.542, CiteScore: 1)
Acta Oecologica     Hybrid Journal   (Followers: 12, SJR: 0.834, CiteScore: 2)
Acta Otorrinolaringologica (English Edition)     Full-text available via subscription  
Acta Otorrinolaringológica Española     Full-text available via subscription   (Followers: 2, SJR: 0.307, CiteScore: 0)
Acta Pharmaceutica Sinica B     Open Access   (Followers: 1, SJR: 1.793, CiteScore: 6)
Acta Poética     Open Access   (Followers: 4, SJR: 0.101, CiteScore: 0)
Acta Psychologica     Hybrid Journal   (Followers: 27, SJR: 1.331, CiteScore: 2)
Acta Sociológica     Open Access   (Followers: 1)
Acta Tropica     Hybrid Journal   (Followers: 6, SJR: 1.052, CiteScore: 2)
Acta Urológica Portuguesa     Open Access  
Actas Dermo-Sifiliograficas     Full-text available via subscription   (Followers: 3, SJR: 0.374, CiteScore: 1)
Actas Dermo-Sifiliográficas (English Edition)     Full-text available via subscription   (Followers: 2)
Actas Urológicas Españolas     Full-text available via subscription   (Followers: 3, SJR: 0.344, CiteScore: 1)
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Actualites Pharmaceutiques     Full-text available via subscription   (Followers: 6, SJR: 0.19, CiteScore: 0)
Actualites Pharmaceutiques Hospitalieres     Full-text available via subscription   (Followers: 3)
Acupuncture and Related Therapies     Hybrid Journal   (Followers: 6)
Acute Pain     Full-text available via subscription   (Followers: 14, SJR: 2.671, CiteScore: 5)
Ad Hoc Networks     Hybrid Journal   (Followers: 11, SJR: 0.53, CiteScore: 4)
Addictive Behaviors     Hybrid Journal   (Followers: 16, SJR: 1.29, CiteScore: 3)
Addictive Behaviors Reports     Open Access   (Followers: 8, SJR: 0.755, CiteScore: 2)
Additive Manufacturing     Hybrid Journal   (Followers: 9, SJR: 2.611, CiteScore: 8)
Additives for Polymers     Full-text available via subscription   (Followers: 22)
Advanced Drug Delivery Reviews     Hybrid Journal   (Followers: 147, SJR: 4.09, CiteScore: 13)
Advanced Engineering Informatics     Hybrid Journal   (Followers: 11, SJR: 1.167, CiteScore: 4)
Advanced Powder Technology     Hybrid Journal   (Followers: 16, SJR: 0.694, CiteScore: 3)
Advances in Accounting     Hybrid Journal   (Followers: 8, SJR: 0.277, CiteScore: 1)
Advances in Agronomy     Full-text available via subscription   (Followers: 12, SJR: 2.384, CiteScore: 5)
Advances in Anesthesia     Full-text available via subscription   (Followers: 28, SJR: 0.126, CiteScore: 0)
Advances in Antiviral Drug Design     Full-text available via subscription   (Followers: 2)
Advances in Applied Mathematics     Full-text available via subscription   (Followers: 10, SJR: 0.992, CiteScore: 1)
Advances in Applied Mechanics     Full-text available via subscription   (Followers: 11, SJR: 1.551, CiteScore: 4)
Advances in Applied Microbiology     Full-text available via subscription   (Followers: 22, SJR: 2.089, CiteScore: 5)
Advances In Atomic, Molecular, and Optical Physics     Full-text available via subscription   (Followers: 14, SJR: 0.572, CiteScore: 2)
Advances in Biological Regulation     Hybrid Journal   (Followers: 4, SJR: 2.61, CiteScore: 7)
Advances in Botanical Research     Full-text available via subscription   (Followers: 2, SJR: 0.686, CiteScore: 2)
Advances in Cancer Research     Full-text available via subscription   (Followers: 31, SJR: 3.043, CiteScore: 6)
Advances in Carbohydrate Chemistry and Biochemistry     Full-text available via subscription   (Followers: 8, SJR: 1.453, CiteScore: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5, SJR: 1.992, CiteScore: 5)
Advances in Cell Aging and Gerontology     Full-text available via subscription   (Followers: 3)
Advances in Cellular and Molecular Biology of Membranes and Organelles     Full-text available via subscription   (Followers: 12)
Advances in Chemical Engineering     Full-text available via subscription   (Followers: 27, SJR: 0.156, CiteScore: 1)
Advances in Child Development and Behavior     Full-text available via subscription   (Followers: 10, SJR: 0.713, CiteScore: 1)
Advances in Chronic Kidney Disease     Full-text available via subscription   (Followers: 10, SJR: 1.316, CiteScore: 2)
Advances in Clinical Chemistry     Full-text available via subscription   (Followers: 29, SJR: 1.562, CiteScore: 3)
Advances in Colloid and Interface Science     Full-text available via subscription   (Followers: 19, SJR: 1.977, CiteScore: 8)
Advances in Computers     Full-text available via subscription   (Followers: 14, SJR: 0.205, CiteScore: 1)
Advances in Dermatology     Full-text available via subscription   (Followers: 15)
Advances in Developmental Biology     Full-text available via subscription   (Followers: 11)
Advances in Digestive Medicine     Open Access   (Followers: 9)
Advances in DNA Sequence-Specific Agents     Full-text available via subscription   (Followers: 5)
Advances in Drug Research     Full-text available via subscription   (Followers: 24)
Advances in Ecological Research     Full-text available via subscription   (Followers: 44, SJR: 2.524, CiteScore: 4)
Advances in Engineering Software     Hybrid Journal   (Followers: 28, SJR: 1.159, CiteScore: 4)
Advances in Experimental Biology     Full-text available via subscription   (Followers: 7)
Advances in Experimental Social Psychology     Full-text available via subscription   (Followers: 44, SJR: 5.39, CiteScore: 8)
Advances in Exploration Geophysics     Full-text available via subscription   (Followers: 1)
Advances in Fluorine Science     Full-text available via subscription   (Followers: 9)
Advances in Food and Nutrition Research     Full-text available via subscription   (Followers: 56, SJR: 0.591, CiteScore: 2)
Advances in Fuel Cells     Full-text available via subscription   (Followers: 16)
Advances in Genetics     Full-text available via subscription   (Followers: 16, SJR: 1.354, CiteScore: 4)
Advances in Genome Biology     Full-text available via subscription   (Followers: 8, SJR: 12.74, CiteScore: 13)
Advances in Geophysics     Full-text available via subscription   (Followers: 6, SJR: 1.193, CiteScore: 3)
Advances in Heat Transfer     Full-text available via subscription   (Followers: 21, SJR: 0.368, CiteScore: 1)
Advances in Heterocyclic Chemistry     Full-text available via subscription   (Followers: 12, SJR: 0.749, CiteScore: 3)
Advances in Human Factors/Ergonomics     Full-text available via subscription   (Followers: 23)
Advances in Imaging and Electron Physics     Full-text available via subscription   (Followers: 2, SJR: 0.193, CiteScore: 0)
Advances in Immunology     Full-text available via subscription   (Followers: 36, SJR: 4.433, CiteScore: 6)
Advances in Inorganic Chemistry     Full-text available via subscription   (Followers: 8, SJR: 1.163, CiteScore: 2)
Advances in Insect Physiology     Full-text available via subscription   (Followers: 2, SJR: 1.938, CiteScore: 3)
Advances in Integrative Medicine     Hybrid Journal   (Followers: 6, SJR: 0.176, CiteScore: 0)
Advances in Intl. Accounting     Full-text available via subscription   (Followers: 3)
Advances in Life Course Research     Hybrid Journal   (Followers: 8, SJR: 0.682, CiteScore: 2)
Advances in Lipobiology     Full-text available via subscription   (Followers: 1)
Advances in Magnetic and Optical Resonance     Full-text available via subscription   (Followers: 9)
Advances in Marine Biology     Full-text available via subscription   (Followers: 16, SJR: 0.88, CiteScore: 2)
Advances in Mathematics     Full-text available via subscription   (Followers: 11, SJR: 3.027, CiteScore: 2)
Advances in Medical Sciences     Hybrid Journal   (Followers: 6, SJR: 0.694, CiteScore: 2)
Advances in Medicinal Chemistry     Full-text available via subscription   (Followers: 5)
Advances in Microbial Physiology     Full-text available via subscription   (Followers: 4, SJR: 1.158, CiteScore: 3)
Advances in Molecular and Cell Biology     Full-text available via subscription   (Followers: 21)
Advances in Molecular and Cellular Endocrinology     Full-text available via subscription   (Followers: 8)
Advances in Molecular Toxicology     Full-text available via subscription   (Followers: 7, SJR: 0.182, CiteScore: 0)
Advances in Nanoporous Materials     Full-text available via subscription   (Followers: 3)
Advances in Oncobiology     Full-text available via subscription   (Followers: 1)
Advances in Organ Biology     Full-text available via subscription   (Followers: 1)
Advances in Organometallic Chemistry     Full-text available via subscription   (Followers: 17, SJR: 1.875, CiteScore: 4)
Advances in Parallel Computing     Full-text available via subscription   (Followers: 7, SJR: 0.174, CiteScore: 0)
Advances in Parasitology     Full-text available via subscription   (Followers: 5, SJR: 1.579, CiteScore: 4)
Advances in Pediatrics     Full-text available via subscription   (Followers: 24, SJR: 0.461, CiteScore: 1)
Advances in Pharmaceutical Sciences     Full-text available via subscription   (Followers: 10)
Advances in Pharmacology     Full-text available via subscription   (Followers: 16, SJR: 1.536, CiteScore: 3)
Advances in Physical Organic Chemistry     Full-text available via subscription   (Followers: 8, SJR: 0.574, CiteScore: 1)
Advances in Phytomedicine     Full-text available via subscription  
Advances in Planar Lipid Bilayers and Liposomes     Full-text available via subscription   (Followers: 3, SJR: 0.109, CiteScore: 1)
Advances in Plant Biochemistry and Molecular Biology     Full-text available via subscription   (Followers: 9)
Advances in Plant Pathology     Full-text available via subscription   (Followers: 5)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Protein Chemistry     Full-text available via subscription   (Followers: 18)
Advances in Protein Chemistry and Structural Biology     Full-text available via subscription   (Followers: 20, SJR: 0.791, CiteScore: 2)
Advances in Psychology     Full-text available via subscription   (Followers: 62)
Advances in Quantum Chemistry     Full-text available via subscription   (Followers: 6, SJR: 0.371, CiteScore: 1)
Advances in Radiation Oncology     Open Access   (SJR: 0.263, CiteScore: 1)
Advances in Small Animal Medicine and Surgery     Hybrid Journal   (Followers: 3, SJR: 0.101, CiteScore: 0)
Advances in Space Biology and Medicine     Full-text available via subscription   (Followers: 5)
Advances in Space Research     Full-text available via subscription   (Followers: 397, SJR: 0.569, CiteScore: 2)
Advances in Structural Biology     Full-text available via subscription   (Followers: 5)
Advances in Surgery     Full-text available via subscription   (Followers: 10, SJR: 0.555, CiteScore: 2)
Advances in the Study of Behavior     Full-text available via subscription   (Followers: 31, SJR: 2.208, CiteScore: 4)
Advances in Veterinary Medicine     Full-text available via subscription   (Followers: 17)
Advances in Veterinary Science and Comparative Medicine     Full-text available via subscription   (Followers: 13)
Advances in Virus Research     Full-text available via subscription   (Followers: 5, SJR: 2.262, CiteScore: 5)
Advances in Water Resources     Hybrid Journal   (Followers: 47, SJR: 1.551, CiteScore: 3)
Aeolian Research     Hybrid Journal   (Followers: 6, SJR: 1.117, CiteScore: 3)
Aerospace Science and Technology     Hybrid Journal   (Followers: 341, SJR: 0.796, CiteScore: 3)
AEU - Intl. J. of Electronics and Communications     Hybrid Journal   (Followers: 8, SJR: 0.42, CiteScore: 2)
African J. of Emergency Medicine     Open Access   (Followers: 6, SJR: 0.296, CiteScore: 0)
Ageing Research Reviews     Hybrid Journal   (Followers: 11, SJR: 3.671, CiteScore: 9)
Aggression and Violent Behavior     Hybrid Journal   (Followers: 446, SJR: 1.238, CiteScore: 3)
Agri Gene     Hybrid Journal   (Followers: 1, SJR: 0.13, CiteScore: 0)
Agricultural and Forest Meteorology     Hybrid Journal   (Followers: 17, SJR: 1.818, CiteScore: 5)
Agricultural Systems     Hybrid Journal   (Followers: 32, SJR: 1.156, CiteScore: 4)
Agricultural Water Management     Hybrid Journal   (Followers: 44, SJR: 1.272, CiteScore: 3)
Agriculture and Agricultural Science Procedia     Open Access   (Followers: 2)
Agriculture and Natural Resources     Open Access   (Followers: 3)
Agriculture, Ecosystems & Environment     Hybrid Journal   (Followers: 57, SJR: 1.747, CiteScore: 4)
Ain Shams Engineering J.     Open Access   (Followers: 5, SJR: 0.589, CiteScore: 3)
Air Medical J.     Hybrid Journal   (Followers: 6, SJR: 0.26, CiteScore: 0)
AKCE Intl. J. of Graphs and Combinatorics     Open Access   (SJR: 0.19, CiteScore: 0)
Alcohol     Hybrid Journal   (Followers: 11, SJR: 1.153, CiteScore: 3)
Alcoholism and Drug Addiction     Open Access   (Followers: 9)
Alergologia Polska : Polish J. of Allergology     Full-text available via subscription   (Followers: 1)
Alexandria Engineering J.     Open Access   (Followers: 1, SJR: 0.604, CiteScore: 3)
Alexandria J. of Medicine     Open Access   (Followers: 1, SJR: 0.191, CiteScore: 1)
Algal Research     Partially Free   (Followers: 11, SJR: 1.142, CiteScore: 4)
Alkaloids: Chemical and Biological Perspectives     Full-text available via subscription   (Followers: 2)
Allergologia et Immunopathologia     Full-text available via subscription   (Followers: 1, SJR: 0.504, CiteScore: 1)
Allergology Intl.     Open Access   (Followers: 5, SJR: 1.148, CiteScore: 2)
Alpha Omegan     Full-text available via subscription   (SJR: 3.521, CiteScore: 6)
ALTER - European J. of Disability Research / Revue Européenne de Recherche sur le Handicap     Full-text available via subscription   (Followers: 9, SJR: 0.201, CiteScore: 1)
Alzheimer's & Dementia     Hybrid Journal   (Followers: 50, SJR: 4.66, CiteScore: 10)
Alzheimer's & Dementia: Diagnosis, Assessment & Disease Monitoring     Open Access   (Followers: 4, SJR: 1.796, CiteScore: 4)
Alzheimer's & Dementia: Translational Research & Clinical Interventions     Open Access   (Followers: 4, SJR: 1.108, CiteScore: 3)
Ambulatory Pediatrics     Hybrid Journal   (Followers: 6)
American Heart J.     Hybrid Journal   (Followers: 50, SJR: 3.267, CiteScore: 4)
American J. of Cardiology     Hybrid Journal   (Followers: 54, SJR: 1.93, CiteScore: 3)
American J. of Emergency Medicine     Hybrid Journal   (Followers: 45, SJR: 0.604, CiteScore: 1)
American J. of Geriatric Pharmacotherapy     Full-text available via subscription   (Followers: 10)
American J. of Geriatric Psychiatry     Hybrid Journal   (Followers: 14, SJR: 1.524, CiteScore: 3)
American J. of Human Genetics     Hybrid Journal   (Followers: 34, SJR: 7.45, CiteScore: 8)
American J. of Infection Control     Hybrid Journal   (Followers: 28, SJR: 1.062, CiteScore: 2)
American J. of Kidney Diseases     Hybrid Journal   (Followers: 34, SJR: 2.973, CiteScore: 4)
American J. of Medicine     Hybrid Journal   (Followers: 46)
American J. of Medicine Supplements     Full-text available via subscription   (Followers: 3, SJR: 1.967, CiteScore: 2)
American J. of Obstetrics and Gynecology     Hybrid Journal   (Followers: 205, SJR: 2.7, CiteScore: 4)
American J. of Ophthalmology     Hybrid Journal   (Followers: 62, SJR: 3.184, CiteScore: 4)
American J. of Ophthalmology Case Reports     Open Access   (Followers: 5, SJR: 0.265, CiteScore: 0)
American J. of Orthodontics and Dentofacial Orthopedics     Full-text available via subscription   (Followers: 6, SJR: 1.289, CiteScore: 1)
American J. of Otolaryngology     Hybrid Journal   (Followers: 25, SJR: 0.59, CiteScore: 1)
American J. of Pathology     Hybrid Journal   (Followers: 27, SJR: 2.139, CiteScore: 4)
American J. of Preventive Medicine     Hybrid Journal   (Followers: 28, SJR: 2.164, CiteScore: 4)
American J. of Surgery     Hybrid Journal   (Followers: 38, SJR: 1.141, CiteScore: 2)
American J. of the Medical Sciences     Hybrid Journal   (Followers: 12, SJR: 0.767, CiteScore: 1)
Ampersand : An Intl. J. of General and Applied Linguistics     Open Access   (Followers: 6)
Anaerobe     Hybrid Journal   (Followers: 4, SJR: 1.144, CiteScore: 3)
Anaesthesia & Intensive Care Medicine     Full-text available via subscription   (Followers: 62, SJR: 0.138, CiteScore: 0)
Anaesthesia Critical Care & Pain Medicine     Full-text available via subscription   (Followers: 17, SJR: 0.411, CiteScore: 1)
Anales de Cirugia Vascular     Full-text available via subscription  
Anales de Pediatría     Full-text available via subscription   (Followers: 3, SJR: 0.277, CiteScore: 0)
Anales de Pediatría (English Edition)     Full-text available via subscription  
Anales de Pediatría Continuada     Full-text available via subscription  
Analytic Methods in Accident Research     Hybrid Journal   (Followers: 5, SJR: 4.849, CiteScore: 10)
Analytica Chimica Acta     Hybrid Journal   (Followers: 43, SJR: 1.512, CiteScore: 5)
Analytical Biochemistry     Hybrid Journal   (Followers: 177, SJR: 0.633, CiteScore: 2)
Analytical Chemistry Research     Open Access   (Followers: 11, SJR: 0.411, CiteScore: 2)
Analytical Spectroscopy Library     Full-text available via subscription   (Followers: 11)
Anesthésie & Réanimation     Full-text available via subscription   (Followers: 2)
Anesthesiology Clinics     Full-text available via subscription   (Followers: 23, SJR: 0.683, CiteScore: 2)
Angiología     Full-text available via subscription   (SJR: 0.121, CiteScore: 0)
Angiologia e Cirurgia Vascular     Open Access   (Followers: 1, SJR: 0.111, CiteScore: 0)
Animal Behaviour     Hybrid Journal   (Followers: 190, SJR: 1.58, CiteScore: 3)

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Journal Cover
North-Holland Mathematics Studies
Number of Followers: 0  
 
  Full-text available via subscription Subscription journal
ISSN (Print) 0304-0208
Published by Elsevier Homepage  [3161 journals]
  • Foreword
    • Abstract: 2008
      Publication year: 2008
      Source:North-Holland Mathematics Studies, Volume 208



      PubDate: 2012-12-15T09:50:09Z
       
  • Conformal mapping and the riemann mapping theorem
    • Abstract: 2008
      Publication year: 2008
      Source:North-Holland Mathematics Studies, Volume 208



      PubDate: 2012-12-15T09:50:09Z
       
  • Picard's theorems
    • Abstract: 2008
      Publication year: 2008
      Source:North-Holland Mathematics Studies, Volume 208



      PubDate: 2012-12-15T09:50:09Z
       
  • An introduction to entire functions
    • Abstract: 2008
      Publication year: 2008
      Source:North-Holland Mathematics Studies, Volume 208



      PubDate: 2012-12-15T09:50:09Z
       
  • Introduction to meromorphic functions
    • Abstract: 2008
      Publication year: 2008
      Source:North-Holland Mathematics Studies, Volume 208



      PubDate: 2012-12-15T09:50:09Z
       
  • Asymptotic values
    • Abstract: 2008
      Publication year: 2008
      Source:North-Holland Mathematics Studies, Volume 208



      PubDate: 2012-12-15T09:50:09Z
       
  • Natural boundaries
    • Abstract: 2008
      Publication year: 2008
      Source:North-Holland Mathematics Studies, Volume 208



      PubDate: 2012-12-15T09:50:09Z
       
  • The bieberbach conjecture
    • Abstract: 2008
      Publication year: 2008
      Source:North-Holland Mathematics Studies, Volume 208



      PubDate: 2012-12-15T09:50:09Z
       
  • Elliptic functions
    • Abstract: 2008
      Publication year: 2008
      Source:North-Holland Mathematics Studies, Volume 208



      PubDate: 2012-12-15T09:50:09Z
       
  • Introduction to the riemann zeta-function
    • Abstract: 2008
      Publication year: 2008
      Source:North-Holland Mathematics Studies, Volume 208



      PubDate: 2012-12-15T09:50:09Z
       
  • Appendix
    • Abstract: 2008
      Publication year: 2008
      Source:North-Holland Mathematics Studies, Volume 208



      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 1 Generalities
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 207

      The aim of this chapter is to put together most of the frequently used auxiliary notions and results which are needed for a good understanding of the whole book. Therefore, we included here basic facts about Banach spaces, the Bochner integral and usual function spaces, compactness theorems including the infinite dimensional version of Arzelà-Ascoli Theorem, C 0-semigroups, m-dissipative operators and the nonlinear evolutions governed by them, m-dissipative possibly nonlinear partial differential operators, differential and integral inequalities.

      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 2 Specific preliminary results
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 207

      Unlike Chapter 1, which was mainly concerned with a general background, our aim here is to gather some concepts and results which, although general, are essentially focused on the specific topic of the book. After proving the Brezis-Browder Ordering Principle, we discuss a basic lemma ensuring the existence of projections. Then, we introduce and study the concept of tangent set at a point to a given set and continue with an excursion to various types of tangent cones: Bouligand, Federer, Clarke and Bony. Further on, we state and prove some fundamental results on l.s.c. and u.s.c. multi-functions and add several technical results referring to measures of noncompactness. Finally, we prove some infinite variants and consequences of Scorza Dragoni type theorems.

      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 3 Nagumo type viability theorems
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 207

      The aim of this chapter is to introduce the reader to the fundamentals of the viability theory for ordinary differential equations in general Banach spaces. We notice that here we confine ourselves to consider only ordinary differential equations driven by continuous right-hand sides. After explaining what viability exactly means, we prove a necessary condition for viability expressed in the terms of the Nagumo Tangency Condition. We then pass to the statement of the main sufficient (in fact necessary and sufficient) conditions for viability. Next, we prove a technical lemma ensuring the existence of a sequence of approximate solutions and continue with the complete proofs of the sufficient conditions for viability. We show how to get viability in the nonautonomous case, by using the already established theory in the autonomous one. We conclude with several results concerning noncontinuable and global solutions.

      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 4 Problems of invariance
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 207

      Here we introduce the reader to the basic problems on (local) invariance referring mainly to ordinary differential equations governed by continuous functions. After some simple preliminary results, we focus our attention on two sufficient conditions for local invariance expressed in terms of certain comparison inequalities coupled either with the viability of the set in question or with the Nagumo Tangency Condition. We continue with the main general sufficient condition for local invariance based on the so-called Exterior Tangency Condition. In the specific case of proximal sets, we show that viability combined with a very general comparison condition implies invariance. Next, we answer the question: “when does tangency imply exterior tangency'” and we conclude with some results on the relationship between local invariance and monotonicity.

      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 5 Viability under carathéodory conditions
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 207

      In this chapter we extend to the case of Carathéodory solutions the viability results in Chapter 3, referring to classical solutions. We notice that in this, a fortiori nonautonomous, case, due to some reasons explained below, we will confine ourselves to consider only cylindrical sets. After showing that an a.e. Nagumo-type tangency condition is necessary for Carathéodory viability, we state and prove that the very same a.e. Nagumo-type tangency condition is also sufficient under some natural Carathéodory-type extra-conditions combined with appropriate either compactness or Lipschitz conditions on the right hand-side. Finally, we focus our attention on the existence of noncontinuable or even global Carathéodory solutions.

      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 6 Viability for differential inclusions
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 207

      The aim of this chapter is to present the main results on viability and invariance in the case of differential inclusions. We first introduce the notions of exact solution and almost exact solution and we study their relationship. We next consider the autonomous case and we prove some necessary and necessary and sufficient conditions for almost exact viability expressed in terms of the set-tangency concept introduced in Chapter 2. The nonautonomous case is reduced to the autonomous one by using the usual trick of introducing a new unknown function. Some problems concerning the continuation of (almost) exact solutions and the existence of global (almost) exact solutions are also considered. Finally, we establish a sufficient condition of invariance and a necessary condition in the specific case of a finite-dimensional problem.

      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 7 Applications
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 207

      In order to illustrate the effectiveness of the abstract developed theory, here we gather several applications. We first show that the viability of a set with respect to a function, defined on a larger open set, implies the viability of the relative closure of that set with respect to that function. We next deal with the viability of an epigraph and we prove a necessary condition in order that a given function be a comparison function. We study the existence problem of monotone solutions for both ordinary differential equations and inclusions. Next, by using viability and invariance arguments, we prove a variant of the well-known Banach Fixed Point Theorem. Further, taking advantage of the infinite-dimensional version of the Nagumo Viability Theorem, we deduce the existence of positive solutions for a pseudo-parabolic semilinear partial differential equation. We continue with the proofs of two well-known results in the classical theory of ordinary differential equations, i.e., Hukuhara and Kneser Theorems. We conclude with an application to the characteristics method for a class of first-order partial differential equations.

      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 8 Viability for single-valued semilinear evolutions
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 207

      In this chapter we reconsider some problems already studied in the case of ordinary differential equations, within the more general frame of semilinear evolution equations governed by single-valued continuous perturbations of infinitesimal generators of C 0-semigroups. As in the previous case we just mentioned, we start with the autonomous case. So, after introducing the concept of mild viability and that one of A-tangent vector to a set at a given point, we prove a necessary condition for mild viability expressed in terms of a tangency condition which, whenever A ≡ 0, reduces to the Nagumo Tangency Condition. We next state and subsequently prove several necessary and sufficient conditions for mild viability. Further, we show how the quasi-autonomous case reduces to the autonomous one and we rephrase all the results already obtained in the autonomous case within this more general frame. We prove some necessary and sufficient conditions for mild viability in the specific case of a class of semilinear reaction-diffusion systems. We conclude the chapter with some results concerning the existence of noncontinuable, as well as of global mild solutions.

      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 9 Viability for multi-valued semilinear evolutions
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 207

      In this chapter we focus our attention on the case of semilinear evolution equations governed by multi-valued perturbations of infinitesimal generators of C 0-semigroups. We first consider the autonomous case and start with the definition of the A-quasi-tangent set at a point to a given set. Using this new concept, we next prove the main necessary condition for mild viability. Then, we state and prove several necessary and sufficient conditions for mild viability. We extend the previous results to the quasi autonomous case and we conclude with some facts concerning the existence of noncontinuable or even global mild solutions.

      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 10 Viability for single-valued fully nonlinear evolutions
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 207

      In this chapter we reconsider some problems, already touched upon in Chapter 8 in the semilinear case, within the (partly) more general frame of fully nonlinear evolution equations governed by continuous perturbations of infinitesimal generators of nonlinear semigroups of contractions. We begin with the definition of the C 0-viability and with the one of A-tangent vector at a point to a given set, in the case of an m-dissipative, possibly nonlinear operator A. We prove a necessary condition for C 0-viability expressed in terms of this tangency concept and we continue with the statements and proofs of several necessary and sufficient conditions for C 0-viability. We extend the results to the quasi-autonomous case and next, we focus our attention on the problem of the existence of C 0-noncontinuable or even global solutions. We then consider a class of fully nonlinear reaction-diffusion systems and we prove several necessary and sufficient conditions for C 0-viability. We conclude with some sufficient conditions for C 0-local invariance.

      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 11 Viability for multi-valued fully nonlinear evolutions
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 207

      Here we extend our study in Chapter 10 to the more general case of nonlinear evolutions equations governed by multi-valued perturbations of m-dissipative operators. More precisely, we start with the autonomous case by defining the concept of A-quasi-tangent set at a point to a given set, in the case in which A is m-dissipative and possible nonlinear. Then, we prove the main necessary condition for C 0-viability expressed in terms of this new tangency concept. We next show that, under various natural extra-assumptions, the already established necessary condition is also sufficient. We extend the results to the quasi-autonomous case and we conclude with some results on the existence of noncontinuable or even global C 0-solutions.

      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 12 Carathéodory perturbations of m-dissipative operators
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 207

      In this chapter we reconsider some problems, already touched upon in Chapter 5 and Chapter 10. More precisely, here, we deal with the (partly) more general frame of fully nonlinear evolutions equations governed by single-valued Carathéodory perturbations of m-dissipative operators in separable Banach spaces. We begin by proving a necessary condition for C 0-viability and continue with the statements and proofs of several necessary and sufficient conditions for C 0-viability. Finally, we focus our attention on the problem of the existence of C 0-noncontinuable or even global solutions.

      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 13 Applications
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 207

      Here we collect several applications illustrating the effectiveness of the abstract developed theory. We begin with a sufficient condition for a set K, which is invariant with respect to the infinitesimal generator, A, of a C 0-semigroup, to be viable with respect to A + f with f : K → X continuous. From this, we deduce the existence of orthogonal solutions of a first-order system of partial differential equations of hyperbolic type. Further, we deduce a necessary and sufficient condition in order that a first-order partial differential equation of hyperbolic type have a unique solution taking values in a certain closed subset in ℝ. Next, using viability techniques, we show how to get necessary and sufficient conditions for a pair of functions to be a Lyapunov pair for a semilinear evolution equation. We notice that the existence of such a pair implies the asymptotic stability of the null solution of the semilinear evolution equation in question. We continue with several comparison results: for a semilinear diffusion equation, for a semilinear pray-predator system, for a nonlinear diffusion inclusion and for a fully nonlinear reaction-diffusion system. We next prove a null controllability result for a class of semilinear evolution equations, and we conclude with an existence result for periodic solutions to a fully nonlinear evolution equation.

      PubDate: 2012-12-15T09:50:09Z
       
  • Solutions to the proposed problems
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 207



      PubDate: 2012-12-15T09:50:09Z
       
  • Bibliographical notes and comments
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 207



      PubDate: 2012-12-15T09:50:09Z
       
  • Name index
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 207



      PubDate: 2012-12-15T09:50:09Z
       
  • Notation index
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 207



      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 1 Definitions and preliminaries
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 206



      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 2 Classes of operators
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 206



      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 3 Functions of finite matrices
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 206



      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 4 Norm estimates for operator functions
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 206



      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 5 Spectrum perturbations
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 206

      In the present chapter, perturbation results for various linear operators in a Hilbert space are presented. These results are used in the next chapters to derive bounds for the spectral radiuses and stability conditions.

      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 6 Linear equations with constant operators
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 206



      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 7 Liapunov's type equations
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 206



      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 8 Bounds for spectral radiuses
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 206



      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 9 Linear equations with variable operators
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 206



      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 10 Linear equations with slowly varying coefficients
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 206

      In this chapter A(t) is a variable linear operator in a Banach space X which is stable for all t = 0, 1, ... .

      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 11 Nonlinear equations with autonomous linear parts
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 206



      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 12 Nonlinear equations with time-variant linear parts
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 206



      PubDate: 2012-12-15T09:50:09Z
       
  • Chapter 13 Higher order linear difference equations
    • Abstract: 2007
      Publication year: 2007
      Source:North-Holland Mathematics Studies, Volume 206



      PubDate: 2012-12-15T09:50:09Z
       
 
 
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