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MATHEMATICS (642 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: 2)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 6)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 21)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 10)
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: 5)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 5)
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: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 15)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 1)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 9)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 1)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Mathematical Physics     Open Access   (Followers: 6)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 3)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 5)
Advances in Pure Mathematics     Open Access   (Followers: 4)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
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: 7)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 2)
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: 9)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 3)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
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: 7)
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: 8)
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: 6)
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)
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: 12)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 4)
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 Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 2)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 4)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 17)
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: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 2)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access  
Baltic International Yearbook of Cognition, Logic and Communication     Open Access  
Basin Research     Hybrid Journal   (Followers: 3)
BIBECHANA     Open Access  
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: 19)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 6)
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: 2)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
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  
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: 2)
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: 1)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 1)
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: 9)
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: 4)
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: 5)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
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  
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 11)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 28)
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: 2)
Discrete Mathematics     Hybrid Journal   (Followers: 7)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
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: 3)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Ensino da Matemática em Debate     Open Access  
Entropy     Open Access   (Followers: 4)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 4)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 3)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Fasciculi Mathematici     Open Access  
Finite Fields and Their Applications     Full-text available via subscription   (Followers: 4)
Fixed Point Theory and Applications     Open Access   (Followers: 1)
Formalized Mathematics     Open Access   (Followers: 2)
Foundations and Trends® in Econometrics     Full-text available via subscription   (Followers: 4)
Foundations and Trends® in Networking     Full-text available via subscription   (Followers: 1)

        1 2 3 4 | Last

Journal Cover Doklady Mathematics
  [SJR: 0.341]   [H-I: 17]   [0 followers]  Follow
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 1531-8362 - ISSN (Online) 1064-5624
   Published by Springer-Verlag Homepage  [2340 journals]
  • Hölder mappings of Carnot groups and intrinsic bases
    • Authors: M. B. Karmanova
      Pages: 1 - 4
      Abstract: Abstract For classes of Hölder mappings of Carnot groups and the corresponding graph mappings, a method for constructing intrinsic bases is described, which makes it possible to push forward the Hausdorff dimension of preimages to images.
      PubDate: 2017-01-01
      DOI: 10.1134/s1064562417010033
      Issue No: Vol. 95, No. 1 (2017)
  • On the chromatic numbers of low-dimensional spaces
    • Authors: D. D. Cherkashin; A. M. Raigorodskii
      Pages: 5 - 6
      Abstract: Abstract New lower bounds are found for the minimum number of colors needed to color all points of a Euclidean space in such a way that any two points at a distance of 1 have different colors.
      PubDate: 2017-01-01
      DOI: 10.1134/s106456241701001x
      Issue No: Vol. 95, No. 1 (2017)
  • Numerical algorithms and fault tolerance of hyperexascale computer systems
    • Authors: B. N. Chetverushkin; M. V. Yakobovskiy
      Pages: 7 - 11
      Abstract: Abstract A new method is discussed which provides the possibility of long-term continuous calculations on a computing systems consisting of millions of operating devices, some of which may suffer failures in the course of calculation. The method relies on the properties of hyperbolized systems of partial differential equations, for which the domain of influence on the solution is localized in space. As a result, the necessary part of the solution can be rapidly recalculated without restarting the whole calculation process. The number of additional processors required for executing the recalculation is estimated.
      PubDate: 2017-01-01
      DOI: 10.1134/s1064562417010021
      Issue No: Vol. 95, No. 1 (2017)
  • On the chromatic number of a space with a forbidden regular simplex
    • Authors: A. M. Raigorodskii; A. A. Sagdeev
      Pages: 15 - 16
      Abstract: Abstract Explicit exponential lower bounds for the chromatic numbers of spaces with forbidden monochromatic regular simplexes are found for the first time.
      PubDate: 2017-01-01
      DOI: 10.1134/s1064562417010082
      Issue No: Vol. 95, No. 1 (2017)
  • Explicit integration of the system of invariant relations for the case of
           M. Adler and P. van Moerbeke
    • Authors: P. E. Ryabov
      Pages: 17 - 20
      Abstract: Abstract For the general integrability case of M. Adler and P. van Moerbeke, invariant relations are obtained in which the rank of the momentum map is 1. Thereby, special periodic solutions generating the edges of the bifurcation diagram are defined. All phase variables are expressed in terms of a set of constants and one auxiliary variable, for which a differential equation integrable in elliptic functions time is given. An explicit expression for the characteristic exponent determining the type of special periodic solutions is presented, which makes it possible to study the character of stability of the obtained solution.
      PubDate: 2017-01-01
      DOI: 10.1134/s1064562417010094
      Issue No: Vol. 95, No. 1 (2017)
  • Jacobi translation and the inequality of different metrics for algebraic
           polynomials on an interval
    • Authors: V. V. Arestov; M. V. Deikalova
      Pages: 21 - 25
      Abstract: Abstract The sharp inequality of different metrics (Nikol’skii’s inequality) for algebraic polynomials in the interval [−1, 1] between the uniform norm and the norm of the space L q (α,β) , 1 ≤ q < ∞, with Jacobi weight ϕ(α,β)(x) = (1 − x)α(1 + x)β α ≥ β > −1, is investigated. The study uses the generalized translation operator generated by the Jacobi weight. A set of functions is described for which the norm of this operator in the space L q (α,β) , 1 ≤ q < ∞, \(\alpha > \beta \geqslant - \frac{1}{2}\) , is attained.
      PubDate: 2017-01-01
      DOI: 10.1134/s1064562417010100
      Issue No: Vol. 95, No. 1 (2017)
  • Noether theorems and quantum anomalies
    • Authors: J. Gough; T. S. Ratiu; O. G. Smolyanov
      Pages: 26 - 30
      Abstract: Abstract A quantum anomaly is the breaking of symmetry with respect to some transformations after the quantization of a classical Hamiltonian or Lagrangian system. It is shown that both the Noether theorems (including their infinite-dimensional versions) and the explanation of the origin of quantum anomalies can be obtained by using similar formulas for derivatives of functions whose values are measure in the former case and pseudomeasures in the latter.
      PubDate: 2017-01-01
      DOI: 10.1134/s1064562417010112
      Issue No: Vol. 95, No. 1 (2017)
  • Generalized equilibrium for conflict problems with side interests of
    • Authors: E. R. Smol’yakov
      Pages: 37 - 42
      Abstract: Abstract A generalized equilibrium for conflict problems with partially overlapping game sets of participants is proposed; this equilibrium turns out to be nonempty even in those cases where all known equilibria are empty.
      PubDate: 2017-01-01
      DOI: 10.1134/s1064562416060259
      Issue No: Vol. 95, No. 1 (2017)
  • Length-type parameters of finite groups with almost unipotent
    • Authors: E. I. Khukhro; P. Shumyatsky
      Pages: 43 - 45
      Abstract: Abstract Let α be an automorphism of a finite group G. For a positive integer n, let E G,n (α) be the subgroup generated by all commutators [...[[x,α],α],…,α] in the semidirect product G 〈α〉 over x ∈ G, where α is repeated n times. By Baer’s theorem, if E G,n (α)=1, then the commutator subgroup [G,α] is nilpotent. We generalize this theorem in terms of certain length parameters of E G,n (α). For soluble G we prove that if, for some n, the Fitting height of E G,n (α) is equal to k, then the Fitting height of [G,α] is at most k + 1. For nonsoluble G the results are in terms of the nonsoluble length and generalized Fitting height. The generalized Fitting height h*(H) of a finite group H is the least number h such that F h* (H) = H, where F 0* (H) = 1, and F i+1* (H) is the inverse image of the generalized Fitting subgroup F*(H/F i *(H)). Let m be the number of prime factors of the order α counting multiplicities. It is proved that if, for some n, the generalized Fitting height E G,n (α) of is equal to k, then the generalized Fitting height of [G,α] is bounded in terms of k and m. The nonsoluble length λ(H) of a finite group H is defined as the minimum number of nonsoluble factors in a normal series each of whose factors either is soluble or is a direct product of nonabelian simple groups. It is proved that if λE G,n (α)= k, then the nonsoluble length of [G,α] is bounded in terms of k and m. We also state conjectures of stronger results independent of m and show that these conjectures reduce to a certain question about automorphisms of direct products of finite simple groups.
      PubDate: 2017-01-01
      DOI: 10.1134/s1064562417010124
      Issue No: Vol. 95, No. 1 (2017)
  • On the existence of solutions of nonlinear equations
    • Authors: A. V. Arutyunov
      Pages: 46 - 49
      Abstract: Abstract Nonlinear equations in Banach spaces are considered. Solvability conditions are obtained for them. These results are a generalization of the Hadamard diffeomorphism theorem. Additionally, conditions for the existence of coincidence points of two mappings acting on metric spaces are obtained.
      PubDate: 2017-01-01
      DOI: 10.1134/s1064562417010148
      Issue No: Vol. 95, No. 1 (2017)
  • On the fundamental solution of the Fokker–Planck–Kolmogorov
    • Authors: A. G. Chechkin; A. S. Shamaev
      Pages: 55 - 59
      Abstract: Abstract The Fokker–Planck–Kolmogorov parabolic second-order differential operator is considered, for which its fundamental solution is derived in explicit form. Such operators arise in numerous applications, including signal filtering, portfolio control in financial mathematics, plasma physics, and problems involving linear-quadratic regulators.
      PubDate: 2017-01-01
      DOI: 10.1134/s1064562417010161
      Issue No: Vol. 95, No. 1 (2017)
  • Spectra of short monadic sentences about sparse random graphs
    • Authors: M. E. Zhukovskii; A. B. Kupavskii
      Pages: 60 - 61
      Abstract: Abstract A random graph G(n, p) is said to obey the (monadic) zero–one k-law if, for any monadic formula of quantifier depth k, the probability that it is true for the random graph tends to either zero or one. In this paper, following J. Spencer and S. Shelah, we consider the case p = n −α. It is proved that the least k for which there are infinitely many α such that a random graph does not obey the zero–one k-law is equal to 4.
      PubDate: 2017-01-01
      DOI: 10.1134/s1064562417010227
      Issue No: Vol. 95, No. 1 (2017)
  • Algebraic Ricci solitons on metric Lie groups with zero
           Schouten–Weyl tensor
    • Authors: P. N. Klepikov; E. D. Rodionov
      Pages: 62 - 64
      Abstract: Abstract Algebraic Ricci solitons on Lie groups with left-invariant (pseudo)Riemannian metric and zero Schouten–Weyl tensor are studied. The absence of nontrivial algebraic Ricci solitons on metric Lie groups with zero Schouten–Weyl tensor and diagonalizable Ricci operator is proved.
      PubDate: 2017-01-01
      DOI: 10.1134/s1064562417010197
      Issue No: Vol. 95, No. 1 (2017)
  • Simulation of astrophysical phenomena on the basis of high-performance
    • Authors: B. N. Chetverushkin; N. D’Ascenzo; A. V. Saveliev; V. I. Saveliev
      Pages: 68 - 71
      Abstract: Abstract A solution algorithm developed for three-dimensional magnetogasdynamic problems is used to simulate the accretion of interstellar matter onto a massive astronomical object with the formation of collinear jets. A kinetically consistent algorithm is well adapted to the architecture of high-performance computer systems with massive parallelism and has improved conditions for time discretization. The three-dimensional accretion of interstellar matter is computed in detail on a spatial grid consisting of 1 billion nodes, and the possibility of studying the formation of collinear jets is demonstrated.
      PubDate: 2017-01-01
      DOI: 10.1134/s1064562417010185
      Issue No: Vol. 95, No. 1 (2017)
  • Attractors in models of porous media flow
    • Authors: A. V. Akhmetzyanov; A. G. Kushner; V. V. Lychagin
      Pages: 72 - 75
      Abstract: Abstract A constructive method is proposed for finding finite-dimensional submanifolds in the space of smooth functions that are invariant with respect to flows defined by evolutionary partial differential equations. Conditions for the stability of these submanifolds are obtained. Such submanifolds are constructed for generalized Rapoport–Leas equations that arise in the theory of porous media flows.
      PubDate: 2017-01-01
      DOI: 10.1134/s1064562417010239
      Issue No: Vol. 95, No. 1 (2017)
  • On the Whitney problem for weighted Sobolev spaces
    • Authors: A. I. Tyulenev; S. K. Vodop’yanov
      Pages: 79 - 83
      Abstract: Abstract Given a closed weakly regular d-thick subset S of ℝ n , we prove the existence of a bounded linear extension operator Ext: Tr S W p 1 (ℝ n , γ) → W p 1 (ℝ n , γ) for p ∈ (1, ∞), 0 ≤ d ≤ n, r ∈ (max{1, n − d}, p), l ∈ ℕ, and \(\gamma \in {A_{\frac{p}{r}}}\) (ℝ n ). In particular, we prove that a linear bounded trace space exists in the case where S is the closure of an arbitrary domain in ℝ n , γ ≡ 1, and p > n − 1. The obtained results supplement those of previous studies, in which a similar problem was considered either in the case of p ∈ (n, ∞) without constraints on the set S or in the case of p ∈ (1, ∞) under stronger constraints on the set S.
      PubDate: 2017-01-01
      DOI: 10.1134/s1064562417010276
      Issue No: Vol. 95, No. 1 (2017)
  • On the convergence condition for the Schwarz alternating method for the
           two-dimensional Laplace equation
    • Authors: E. G. Shifrin
      Pages: 84 - 86
      Abstract: Abstract The Schwarz alternating method makes it possible to construct a solution of the Dirichlet problem for the two-dimensional Laplace equation in a finite union of overlapping domains, provided that this problem has a solution in each domain. The existing proof of the method convergence and estimation of the convergence rate use the condition that the normals to the boundaries of the domains at the intersection points are different. In the paper, it is proved that this constraint can be removed for domains with Hölder continuous normals. Removing the constraint does not affect the rate of convergence.
      PubDate: 2017-01-01
      DOI: 10.1134/s1064562417010264
      Issue No: Vol. 95, No. 1 (2017)
  • Method for constructing an external polyhedral estimate of the trajectory
           tube for a nonlinear dynamic system
    • Authors: A. V. Lotov
      Pages: 95 - 98
      Abstract: Abstract A numerical method is proposed for constructing an external polyhedral estimate for the trajectory tube of a nonlinear dynamic system described by a differential inclusion. The method is based on the approximation of cross sections of the trajectory tube (reachable sets) for an auxiliary system described by the convex hull of the graph of the differential inclusion. It produces polyhedral estimates suitable for the direct study of tubes via computer visualization and for the solution of more general problems.
      PubDate: 2017-01-01
      DOI: 10.1134/s1064562417010045
      Issue No: Vol. 95, No. 1 (2017)
  • Necessary optimality conditions in an optimal control problem for a
           parabolic equation with nonlocal integral conditions
    • Authors: M. J. Mardanov; R. A. Teymurov
      Pages: 99 - 102
      Abstract: Abstract A variational method for the optimal control of moving sources governed by a parabolic equation with nonlocal integral conditions is considered. For this problem, an existence and uniqueness theorem is proved, necessary optimality conditions in the form of pointwise and integral maximum principles are obtained, sufficient conditions for the Fréchet differentiability of the cost functional are found, and an expression for its gradient is derived.
      PubDate: 2017-01-01
      DOI: 10.1134/s1064562417010070
      Issue No: Vol. 95, No. 1 (2017)
  • Erratum to: “Transformations of Feynman path integrals and generalized
           densities of Feynman pseudomeasures”
    • Authors: L. C. García-Naranjo; J. Montaldi; O. G. Smolyanov
      Pages: 108 - 108
      PubDate: 2017-01-01
      DOI: 10.1134/s106456241702017x
      Issue No: Vol. 95, No. 1 (2017)
School of Mathematical and Computer Sciences
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