E. B. Afanas’eva, V. B. Vasil’ev, A. B. Kamanda Bongay
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引用次数: 0
Abstract
We study the solvability of discrete elliptic pseudodifferential equations in a sector of the
plane. Using special factorization of the symbol, the problem is reduced to a boundary value
problem for analytic functions of two variables. A periodic analog of one integral transformation is
obtained that was used to construct solutions of elliptic pseudodifferential equations in conical
domains. The formula for the general solution of the discrete equation under consideration and
some boundary value problems are described in terms of this transformation.
期刊介绍：
Differential Equations is a journal devoted to differential equations and the associated integral equations. The journal publishes original articles by authors from all countries and accepts manuscripts in English and Russian. The topics of the journal cover ordinary differential equations, partial differential equations, spectral theory of differential operators, integral and integral–differential equations, difference equations and their applications in control theory, mathematical modeling, shell theory, informatics, and oscillation theory. The journal is published in collaboration with the Department of Mathematics and the Division of Nanotechnologies and Information Technologies of the Russian Academy of Sciences and the Institute of Mathematics of the National Academy of Sciences of Belarus.
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