Difference Equations in a Multidimensional Space
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, indexHow to Cite
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Copyright (c) 2016 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2016 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.