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Differential Equations, Mathematical Modeling and Computational Algorithms

DEMMCA 2021, Belgorod, Russia, October 25–29

  • Conference proceedings
  • © 2023

Overview

Editors:
  1. Vladimir Vasilyev

    1. Chair of Appl. Math. Comp. Model., Belgorod State National Research Univers, Belgorod, Russia

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  • Illuminates modern mathematical problems
  • New mathematical and numerical methods
  • New mathematical models

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 423)

Included in the following conference series:

Conference proceedings info: DEMMCA 2021.

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Table of contents (20 papers)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Some Classes of Quasilinear Equations with Gerasimov—Caputo Derivatives

    • Vladimir E. Fedorov, Kseniya V. Boyko
    Pages 1-16

  3. On the Solvability of Initial Problems for Abstract Singular Equations Containing Fractional Derivatives

    • Alexander Glushak
    Pages 17-33

  4. Local Bifurcations of Periodic Traveling Waves in the Generalized Weakly Dissipative Ginzburg-Landau Equation

    • Anatoly Kulikov, Dmitry Kulikov
    Pages 35-49

  5. Towards Discrete Octonionic Analysis

    • Rolf Sören Kraußhar, Anastasiia Legatiuk, Dmitrii Legatiuk
    Pages 51-63

  6. Axiomatic Method for Constructing a Generalized Solution of a Mixed Problem for a Telegraph Equation

    • Igor S. Lomov
    Pages 65-76

  7. Non-local Substitutions for Liouville Equations with Three and Four Independent Variables

    • Aleksey Mironov, Lyubov Mironova
    Pages 77-87

  8. Convergence Rates of a Finite Difference Method for the Fractional Subdiffusion Equations

    • Li Liu, Zhenbin Fan, Gang Li, Sergey Piskarev
    Pages 89-113

  9. Degenerate Quasilinear Equations with Dzhrbashyan—Nersesian Derivatives and Applications

    • Marina Plekhanova, Elizaveta Izhberdeeva
    Pages 115-127

  10. On a K-Homogeneous Metric

    • Marina V. Polovinkina, Igor P. Polovinkin
    Pages 129-139

  11. Biooscillators in Models of Genetic Networks

    • Felix Sadyrbaev, Inna Samuilik, Valentin Sengileyev
    Pages 141-152

  12. Numerical Method for Problem of Scattering by a Small Thickness Dielectric Layer on a Perfectly Conductive Substrate

    • Alexey Setukha, Stanislav Stavtsev
    Pages 153-166

  13. Invariants of Dynamical Systems with Dissipation on Tangent Bundles of Low-Dimensional Manifolds

    • Maxim V. Shamolin
    Pages 167-179

  14. B-subharmonic Functions

    • Elina Shishkina
    Pages 181-191

  15. Some Multi–dimensional Modified G- and H-Integral Transforms on \(\mathfrak {L}_{\overline{\nu }, \,\overline{r}}\)-Spaces

    • S. M. Sitnik, O. V. Skoromnik, M. V. Papkopvich
    Pages 193-214

  16. On Sufficient Conditions of the Faddeev–Marchenko Theorem

    • B. D. Koshanov, A. P. Soldatov
    Pages 215-225

  17. Variational Approach to Construction of Piecewise-Constant Approximations of the Solution of Dynamic Reconstruction Problem

    • Nina Subbotina, Evgenii Krupennikov
    Pages 227-242

  18. Discrete Operators and Equations: Analysis and Comparison

    • Alexander Vasilyev, Vladimir Vasilyev, Asad Esmatullah
    Pages 243-251

  19. Pseudo-Differential Equations in Spaces of Different Smoothness Exponents on Variables

    • Vladimir Vasilyev, Victor Polunin, Igor Shmal
    Pages 253-267

  20. Thermodynamic Limit in Vector Lattice Models

    • Yuri P. Virchenko
    Pages 269-287
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  1. Differential Equations, Mathematical Modeling and Computational Algorithms

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About this book

This book contains reports made at the International Conference on Differential Equations, Mathematical Modeling and Computational Algorithms, held in Belgorod, Russia, in October 2021 and is devoted to various aspects of the theory of differential equations and their applications in various branches of science. Theoretical papers devoted to the qualitative analysis of emerging mathematical objects, theorems of the existence and uniqueness of solutions to the boundary value problems under study are presented, and numerical algorithms for their solution are described. Some issues of mathematical modeling are also covered; in particular, in problems of economics, computational aspects of the theory of differential equations and boundary value problems are studied. The articles are written by well-known experts and are interesting and useful to a wide audience: mathematicians, representatives of applied sciences and students and postgraduates of universities engaged in applied mathematics.



Editors and Affiliations

  • Chair of Appl. Math. Comp. Model., Belgorod State National Research Univers, Belgorod, Russia

    Vladimir Vasilyev

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