Email this article On multidimensional difference operators and equations
- Authors: Vasil’ev A.V.1,2, Vasil’ev V.B.1,2
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Affiliations:
- Belgorod National Research University
- Lipetsk State Technical University
- Issue: Vol 53, No 5 (2017)
- Pages: 701-703
- Section: Short Communications
- URL: https://journals.rcsi.science/0012-2661/article/view/154408
- DOI: https://doi.org/10.1134/S0012266117050135
- ID: 154408
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Abstract
We study the solvability of multidimensional difference equations in Sobolev–Slobodetskii spaces. In the simplest model case, we describe the solvability picture for such equations. In the general case, we present conditions for the Fredholm property and a theorem on the zero index.
About the authors
A. V. Vasil’ev
Belgorod National Research University; Lipetsk State Technical University
Author for correspondence.
Email: alexvassel@gmail.com
Russian Federation, Belgorod, 308015; Lipetsk, 398600
V. B. Vasil’ev
Belgorod National Research University; Lipetsk State Technical University
Email: alexvassel@gmail.com
Russian Federation, Belgorod, 308015; Lipetsk, 398600
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