Difference Equations in a Multidimensional Space

    Alexander V. Vasilyev Info
    Vladimir B. Vasilyev Info
DOI: https://doi.org/10.3846/13926292.2016.1161668

Abstract

One considers a general difference equation in a multidimensional space with continuous coefficients in the space of integrable functions. Necessary and sufficient conditions for a Fredholm property are obtained with a help of the Fourier transform and the Riemann boundary value problem. For simplest cases solvability conditions and formula of a general solution for the difference equation are given.

Keywords:

difference equation, symbol, singular integral equation, Riemann boundary value problem, index

How to Cite

Vasilyev, A. V., & Vasilyev, V. B. (2016). Difference Equations in a Multidimensional Space. Mathematical Modelling and Analysis, 21(3), 336-349. https://doi.org/10.3846/13926292.2016.1161668

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May 19, 2016
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Copyright (c) 2016 The Author(s). Published by Vilnius Gediminas Technical University.

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Published

2016-05-19

Issue

Vol 21 No 3 (2016)

Section

Articles

Copyright

Copyright (c) 2016 The Author(s). Published by Vilnius Gediminas Technical University.

License

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Vasilyev, A. V., & Vasilyev, V. B. (2016). Difference Equations in a Multidimensional Space. Mathematical Modelling and Analysis, 21(3), 336-349. https://doi.org/10.3846/13926292.2016.1161668

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