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Difference Equations and Boundary Value Problems

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Differential and Difference Equations with Applications (ICDDEA 2015)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 164))

Abstract

We study multidimensional difference equations with a continual variable in the Sobolev–Slobodetskii spaces. Using ideas and methods of the theory of boundary value problems for elliptic pseudo-differential equations, we suggest to consider certain boundary value problems for such difference equations. Special boundary conditions permit to prove unique solvability for these boundary value problems in appropriate Sobolev–Slobodetskii spaces.

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Acknowledgements

This work was partially supported by the Russian Foundation for Basic Research and government of Lipetsk region of Russia, project no. 14-41-03595-a.

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Authors and Affiliations

  1. National Research Belgorod State University, Studencheskaya 14/1, Belgorod, 307008, Russia

    Alexander V. Vasilyev

  2. Lipetsk State Technical University, Moskovskaya 30, Lipetsk, 398600, Russia

    Vladimir B. Vasilyev

Authors
  1. Alexander V. Vasilyev
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  2. Vladimir B. Vasilyev
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Corresponding author

Correspondence to Vladimir B. Vasilyev .

Editor information

Editors and Affiliations

  1. Departamento de CiĂŞncias Exactas e Naturais, Academia Militar, Amadora, Portugal

    Sandra Pinelas

  2. Department of Mathematics and Statistics, Masaryk University, Brno, Czech Republic

    Zuzana Došlá

  3. Department of Mathematics and Statistics, Masaryk University, Brno, Czech Republic

    Ondřej Došlý

  4. School of Mathematics and Stastistics, Huazhong University of Science and Technology, Wuhan, China

    Peter E. Kloeden

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Vasilyev, A.V., Vasilyev, V.B. (2016). Difference Equations and Boundary Value Problems. In: Pinelas, S., Došlá, Z., Došlý, O., Kloeden, P. (eds) Differential and Difference Equations with Applications. ICDDEA 2015. Springer Proceedings in Mathematics & Statistics, vol 164. Springer, Cham. https://doi.org/10.1007/978-3-319-32857-7_39

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