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MATHEMATICS (706 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 4)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 3)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 7)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 15)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 3)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 27)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 11)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 9)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 3)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 6)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 18)
Advances in Decision Sciences     Open Access   (Followers: 3)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 13)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 2)
Advances in Materials Sciences     Open Access   (Followers: 14)
Advances in Mathematical Physics     Open Access   (Followers: 3)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 4)
Advances in Operations Research     Open Access   (Followers: 12)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 5)
Advances in Science and Research (ASR)     Open Access   (Followers: 4)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 11)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Algebra and Logic     Hybrid Journal   (Followers: 5)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 5)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 6)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 8)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 4)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 11)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription  
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 12)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 5)
ANZIAM Journal     Open Access   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 1)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 11)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 6)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 6)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 2)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 20)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 6)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 4)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 1)
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access   (Followers: 2)
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 1)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 21)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 11)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 2)
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 4)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 18)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 2)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 1)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 4)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 14)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 2)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 8)
Compositio Mathematica     Full-text available via subscription   (Followers: 1)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 5)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 8)
Concrete Operators     Open Access   (Followers: 5)
Confluentes Mathematici     Hybrid Journal  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 12)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 9)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 10)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 29)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 3)
Differentsial'nye Uravneniya     Open Access  
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae - General Algebra and Applications     Open Access  
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Diskretnaya Matematika     Full-text available via subscription  
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Akademii Nauk     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Eco Matemático     Open Access  
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Differential Equations     Open Access  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)
Elemente der Mathematik     Full-text available via subscription   (Followers: 4)

        1 2 3 4 | Last

Journal Cover Boletín de la Sociedad Matemática Mexicana
  [SJR: 0.11]   [H-I: 11]   [0 followers]  Follow
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 1405-213X - ISSN (Online) 2296-4495
   Published by Springer-Verlag Homepage  [2351 journals]
  • Ring index of a graph
    • Authors: Zahra Barati
      Abstract: Let G be a graph with n vertices and m edges and r connected components. The free rank of G, denoted by \(\text {frank}(G)\) , is the number of primitive cycles of G. Also, the cycle rank of G was defined as \(\text {rank}(G) := m-n+r\) . The family of graphs satisfying the equality \(\text {rank}(G) = \text {frank}(G)\) is called ring graphs. The full characterization of this family of graphs were given in Gitler et al. (J. Algebraic Comb. 38:721–744, 2013; Discret. Math. 310:430–441, 2010). In this paper, we consider the following problem: Find the minimum number n such that the n-iterated line graph of G is not a ring graph, i.e. \(\text {rank}(L^n(G)) \ne \text {frank}(L^n(G))\) . For this purpose, we define the ring index of G as the minimum number n such that the n-iterated line graph of G is not a ring graph. We show that the ring index of a graph is at most 3 or is \(\infty \) . Furthermore, we give a full characterization of graphs with respect to this index.
      PubDate: 2018-02-26
      DOI: 10.1007/s40590-018-0195-9
  • A conjecture on line transversals to five unit discs
    • Authors: Jesús Jerónimo-Castro
      Abstract: In this paper, we prove the following: Let \(\mathcal {F}=\{x_1+B,x_2+B,x_3+B,x_4+B,x_5+B\}\) be a family of translates of the unit diameter disc B such that every three members of \({\mathcal {F}}\) are intersected by some straight line, then there is a line intersecting every member of the family \({\mathcal {F}}'=\{x_1+\varphi B,x_2+\varphi B,x_3+ \varphi B,x_4+ \varphi B,x_5+ \varphi B\}\) , where \(\varphi =\frac{1+\sqrt{5}}{2}\) .
      PubDate: 2018-02-21
      DOI: 10.1007/s40590-018-0193-y
  • On extended implication groupoids
    • Authors: Akbar Rezaei
      Abstract: In this paper we generalize the notion of an implication groupoid and introduce ei-groupoid, and investigate related properties. We study the notion of filters in this structure and we give the construction of implication algebra from ei-groupoid. Finally, we prove that for distributive ei-groupoids filters coincide with ideals.
      PubDate: 2018-02-19
      DOI: 10.1007/s40590-018-0194-x
  • Graph products and characterization by rings
    • Authors: Nicolas Campanelli; Martín Eduardo Frías-Armenta; Jose Luis Martinez-Morales
      Pages: 527 - 535
      Abstract: We formulate a group of graphs with graph union as operation. Out of the 256 possible graph products, only six can be used as means to define ring structures over such graph group. Likewise, using the graph join instead of the graph union, another set of graph products is available for defining ring structures. Unsurprisingly, both constructions lead to the same rings via an isomorphism.
      PubDate: 2017-10-01
      DOI: 10.1007/s40590-015-0081-7
      Issue No: Vol. 23, No. 2 (2017)
  • Hamiltonian tetrahedralizations with Steiner points
    • Authors: Francisco Escalona; Ruy Fabila-Monroy; Jorge Urrutia
      Pages: 537 - 547
      Abstract: A tetrahedralization of a point set in three dimensional space is the analogue of a triangulation of a point set in the plane. The dual graph of a tetrahedralization is the graph having the tetrahedra as nodes, two of which are adjacent if they share a face. A tetrahedralization is Hamiltonian if its dual graph has a Hamiltonian path. Problem 29 of the “Open Problems Project” in Computational Geometry, asks whether every finite set of points in three dimensional space has a Hamiltonian tetrahedralization. Let S be a set of n points in general position in three dimensional space, m of which are convex hull vertices. In this paper we provide an \(O(m^\frac{3}{2}) + O(n \log n)\) time algorithm to compute a Hamiltonian tetrahedralization of S, by adding Steiner points. Our algorithm adds at most \(\left\lfloor \frac{m-2}{2} \right\rfloor -1\) Steiner points. If \(m \le 20\) , then no Steiner points are needed to find a Hamiltonian tetrahedralization of S. Finally, we construct a set of 84 points that does not admit a Hamiltonian tetrahedralization in which all tetrahedra share a common vertex.
      PubDate: 2017-10-01
      DOI: 10.1007/s40590-015-0080-8
      Issue No: Vol. 23, No. 2 (2017)
  • On the perfect matching graph defined by a set of cycles
    • Authors: Ana Paulina Figueroa; Julián Fresán-Figueroa; Eduardo Rivera-Campo
      Pages: 549 - 556
      Abstract: The perfect matching graph of a graph G, denoted by M(G), has one vertex for each perfect matching of G and two matchings are adjacent if their symmetric difference is a cycle of G. Let C be a family of cycles of G. The perfect matching graph defined by C is the spanning subgraph M(G, C) of M(G) in which two perfect matchings L and N are adjacent only if \(L \varDelta N\) lies in C. We give a necessary condition and a sufficient condition for M(G, C) to be connected. We also give examples of graphs and of families of cycles for which the sufficient condition is satisfied.
      PubDate: 2017-10-01
      DOI: 10.1007/s40590-015-0079-1
      Issue No: Vol. 23, No. 2 (2017)
  • On the hyperhomology of the small Gobelin in codimension 2
    • Authors: Xavier Gómez-Mont; Luis Núñez-Betancourt
      Pages: 623 - 651
      Abstract: Given a zero-dimensional Gorenstein algebra \(\mathbb {B}\) and two syzygies between two elements \(f_1,f_2\in {\mathbb B}\) , one constructs a double complex of \(\mathbb {B}\) -modules, \(\mathcal{G}_\mathbb {B},\) called the small Gobelin. We describe an inductive procedure to construct the even and odd hyperhomologies of this complex. For high degrees, the difference \(\dim \mathbb {H}_{j+2}(\mathcal{G}_\mathbb {B}) - \dim \mathbb {H}_j(\mathcal{G}_\mathbb {B})\) is constant, but possibly with a different value for even and odd degrees. We describe two flags of ideals in \(\mathbb {B}\) which codify the above differences of dimension. The motivation to study this double complex comes from understanding the tangency condition between a vector field and a complete intersection, and invariants constructed in the zero locus of the vector field \(\hbox {Spec}(\mathbb {B})\) .
      PubDate: 2017-10-01
      DOI: 10.1007/s40590-015-0076-4
      Issue No: Vol. 23, No. 2 (2017)
  • The Lie bialgebra structure of the vector space of cyclic words
    • Authors: Ana González
      Pages: 667 - 689
      Abstract: This paper presents a combinatorial proof of the existence of a Lie bialgebra structure over the vector space of reduced cyclic words. Any surface with non-empty boundary has an associated vector space determined by the corresponding surface symbol, this space is known as the space of reduced cyclic words. The Lie bialgebra structure over this space was introduced by Chas in the article Combinatorial Lie bialgebras of curves on surfaces, where a proof of the existence of this structure is given. This proof is based on the construction of an isomorphism between the space of reduced cyclic words and the space of curves on a surface.
      PubDate: 2017-10-01
      DOI: 10.1007/s40590-016-0133-7
      Issue No: Vol. 23, No. 2 (2017)
  • On some fractional Hermite–Hadamard inequalities via s -convex and s
           -Godunova–Levin functions and their applications
    • Authors: Zhuoyan Gao; Mengmeng Li; JinRong Wang
      Pages: 691 - 711
      Abstract: In this paper, we establish two fractional integral equalities involving once and twice differential functions. Then, we apply such equalities to give some fractional Hermite–Hadamard inequalities via s-convex and s-Godunova–Levin functions. Some applications to special means of positive real numbers are also given.
      PubDate: 2017-10-01
      DOI: 10.1007/s40590-016-0087-9
      Issue No: Vol. 23, No. 2 (2017)
  • New family of cubic Hamiltonian centers
    • Authors: Martín-Eduardo Frías-Armenta; Jaume Llibre
      Pages: 737 - 758
      Abstract: We characterize the 11 non-topological equivalent classes of phase portraits in the Poincaré disc of the new family of cubic polynomial Hamiltonian differential systems with a center at the origin and Hamiltonian $$\begin{aligned} H= \frac{1}{2} ( (x + a x^2 + b x y + c y^2)^2+y^2 ), \end{aligned}$$ with \(a^2+b^2+c^2\ne 0\) .
      PubDate: 2017-10-01
      DOI: 10.1007/s40590-016-0126-6
      Issue No: Vol. 23, No. 2 (2017)
  • Some fixed point theorems of multivalued operators in partially ordered
           metric spaces and applications to hyperbolic differential inclusions
    • Authors: Samad Mohseni Kolagar; Maryam Ramezani; Madjid Eshaghi Gordji
      Pages: 815 - 824
      Abstract: In this paper, we introduce the concept of generalized contraction for multivalued operators defined on ordered complete metric spaces. We analyze the existence of fixed points for generalized multivalued operators. Moreover, as an application of our main theorem, we give an existence theorem for the solution of a hyperbolic differential inclusion problem.
      PubDate: 2017-10-01
      DOI: 10.1007/s40590-015-0077-3
      Issue No: Vol. 23, No. 2 (2017)
  • On the rational homotopical nilpotency index of principal bundles
    • Authors: Yanlong Hao; Xiugui Liu
      Pages: 847 - 851
      Abstract: Let Aut(p) denote the space of all self-fibre homotopy equivalences of a principal G-bundle \(p: E\rightarrow X\) of simply connected CW complexes with E finite. When G is a compact connected topological group, we show that there exists an inequality $$\begin{aligned} n-\mathrm{N}(p)\le \mathrm{Hnil}_{\mathbb {Q}}(\mathrm{{Aut}}(p)_0)\le n \end{aligned}$$ for any space X, where n is the number of non-trivial rational homotopy groups of G and \(\mathrm{N}(p)\) is defined in Sect. 2. In particular, \(\mathrm{Hnil}_{\mathbb {Q}}(\mathrm{{Aut}}(p)_{0})=n\) if p is a fibre homotopy trivial bundle and X is finite.
      PubDate: 2017-10-01
      DOI: 10.1007/s40590-016-0098-6
      Issue No: Vol. 23, No. 2 (2017)
  • Stable polynomial curves and some properties with application in control
    • Authors: J. A. López-Renteria; B. Aguirre-Hernández; F. Verduzco
      Pages: 869 - 889
      Abstract: The aim of this work is to give a Hurwitz path (which is a family of polynomials) joining any two arbitrary stable polynomials in the set of monic Hurwitz polynomials with positive coefficients and fixed degree n, \(\mathcal {H}_{n}^{+}\) . This and the homotopy of paths allow to prove the existence of a dense trajectory in \(\mathcal {H}_{n}^{+}\) . It implies, by the Möbius transform and Viète’s map, that we can find a connecting-path in the set of the Schur polynomials, \(\mathcal {S}_{n}\) . Due to the form of the stable connecting-paths, a feedback control is designed whose structure can be used to stabilize continuous or discrete systems.
      PubDate: 2017-10-01
      DOI: 10.1007/s40590-016-0086-x
      Issue No: Vol. 23, No. 2 (2017)
  • Dyukarev–Stieltjes parameters of the truncated Hausdorff matrix
           moment problem
    • Authors: Abdon E. Choque-Rivero
      Pages: 891 - 918
      Abstract: We obtain a new multiplicative decomposition of the resolvent matrix of the non-degenerate truncated Hausdorff matrix moment (THMM) problem in the case of odd and even number of moments with the help of Dyukarev–Stieltjes matrix parameters (DSMP). Our result generalizes the Dyukarev representation of the resolvent matrix of the truncated Stieltjes matrix moment problem published in (Math Notes 75(1–2):66–82, 2004). In the scalar case, these parameters appear in the celebrated Stieltjes’s (1894) work Recherches sur les fractions continues and are used to establish the determinateness of the moment problem. We also obtain explicit relations between four families of orthogonal matrix polynomials on [a, b] together with their matrix polynomials of the second kind and the DSMP of the THMM problem. Additionally, we derive new representations of the Christoffel–Darboux kernel.
      PubDate: 2017-10-01
      DOI: 10.1007/s40590-015-0083-5
      Issue No: Vol. 23, No. 2 (2017)
  • Homology theory formulas for generalized Riemann–Hurwitz and generalized
           monoidal transformations
    • Authors: James F. Glazebrook; Alberto Verjovsky
      Abstract: In the context of orientable circuits and subcomplexes of these as representing certain singular spaces, we consider characteristic class formulas generalizing those classical results as seen for the Riemann–Hurwitz formula for regulating the topology of branched covering maps and that for monoidal transformations which include the standard blowing-up process. Here the results are presented as cap product pairings, which will be elements of a suitable homology theory, rather than characteristic numbers as would be the case when taking Kronecker products once Poincaré duality is defined. We further consider possible applications and examples including branched covering maps, singular varieties involving virtual tangent bundles, the Chern–Schwartz–MacPherson class, the homology L-class, generalized signature, and the cohomology signature class.
      PubDate: 2017-12-02
      DOI: 10.1007/s40590-017-0191-5
  • On the parity of the index of ramified Heegner divisors
    • Authors: Carlos Castano-Bernard
      Abstract: Let E be an elliptic curve defined over the rationals and let N be its conductor. Assume N is prime. In this paper, we prove that the index on E of the Heegner divisor of discriminant \(D=-~4N\) is even provided \(N\equiv 7\pmod {8}\) and discuss some conjectures on further parity properties for the indexes on E of Heegner divisors of discriminant D dividing 4N. One of these conjectures suggests a possible link between the parity of the eigenvalue \(a_A(2)\) and the parity of the Šafarevič-Tate group of certain elliptic curves A of square conductor.
      PubDate: 2017-11-30
      DOI: 10.1007/s40590-017-0192-4
  • Global product structure for a space of special matrices
    • Authors: Baltazar Aguirre-Hernández; Francisco A. Carrillo; Jesús F. Espinoza; Horacio Leyva
      Abstract: The importance of the Hurwitz–Metzler matrices and the Hurwitz symmetric matrices can be appreciated in different applications: communication networks, biology and economics are some of them. In this paper, we use an approach of differential topology for studying such matrices. Our results are as follows: the space of the \(n\times n\) Hurwitz symmetric matrices has a product manifold structure given by the space of the \((n-1)\times (n-1)\) Hurwitz symmetric matrices and the Euclidean space. Additionally we study the space of Hurwitz–Metzler matrices and these ideas let us do an analysis of robustness of Hurwitz–Metzler matrices. In particular, we study the insulin model as an application.
      PubDate: 2017-11-22
      DOI: 10.1007/s40590-017-0189-z
  • An upper bound for third Hankel determinant of starlike functions
           connected with $$k-$$ k - Fibonacci numbers
    • Authors: H. Özlem Güney; Sedat İlhan; Janusz Sokół
      Abstract: In this paper, we investigate the third Hankel determinant problem in some classes of analytic functions in the open unit disc connected with k-Fibonacci numbers \(F_{k,n}\) \((k>0)\) . For this, first, we prove a conjecture, posed in Güney et al. (2017), for sharp upper bound of the second Hankel determinant. In the sequel, we obtain another sharp coefficient bound which we apply in solving the problem of the third Hankel determinant for these functions. Finally, we give an upper bound for the third Hankel determinant in this class. The results presented in the present paper have been shown to generalize and improve some recent work of Sokół et al. (2017).
      PubDate: 2017-11-17
      DOI: 10.1007/s40590-017-0190-6
  • On the completeness of the asymptotic length spectrum Teichmüller space
           of surfaces of infinite type
    • Authors: Francisco G. Jimenez-Lopez
      Abstract: The length spectrum Teichmüller space \(T_{ls}(R)\) , based at hyperbolic surface of infinite type R, is the collection of all marked hyperbolic surfaces that are homeomorphic to R, satisfying that the quotients of the lengths of the corresponding geodesics are uniformly bounded from above and from below. Two points in \(T_{ls}(R)\) are called asymptotically length spectrum equivalent if the ratios of the lengths of geodesics outside compact sets is close to 1. The quotient space coming from this relation is called the asymptotic length spectrum Teichmüller space \(AT_{ls}(R)\) . In this paper we prove that if the base surface R admits a pair of pants decomposition that satisfies Shiga’s condition (i.e., that is upper and lower bounded), then \(AT_{ls}(R)\) is complete under the natural metric. We also prove that in this case, the space is homeomorphic to \(l^{\infty }/c_0\) , where \(l^{\infty }\) is the Banach space of bounded sequences and \(c_0\) is the subspace of sequences converging to zero.
      PubDate: 2017-11-16
      DOI: 10.1007/s40590-017-0188-0
  • Convolution with the linear canonical Hankel transformation
    • Authors: Tanuj Kumar; Akhilesh Prasad
      Abstract: In this work, we introduce translation and convolution for linear canonical Hankel transformations and studied some inequalities. For the particular values of linear canonical Hankel transformation (i.e., for Hankel–Clifford transformation), we investigate linear time-invariant filters. Furthermore, some applications of linear canonical Hankel transformation to a generalized non-linear parabolic equation and a canonical convolution integral equation are given.
      PubDate: 2017-10-23
      DOI: 10.1007/s40590-017-0187-1
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