Difference Equations in a Multidimensional Space

作者：Vasilyev Alexander V; Vasilyev Vladimir B^*

来源：Mathematical Modelling and Analysis, 2016, 21(3): 336-349.

DOI：10.3846/13926292.2016.1161668

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

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.

• 出版日期2016