Abstract

In this paper, we study solvability of new classes of nonlocal boundary value problems for a second-order elliptic type equation. The considered problems are multidimensional analogues (in the case of circular domains) of classical periodic boundary value problems in rectangular domains.

To study the main problem, first, an auxiliary boundary value problem with inclined derivative is considered for the second order elliptic equation. The main problems are solved by reducing them to a sequential solution of the Dirichlet problem and the problem with inclined derivative. Theorems on the existence and uniqueness of a solution of considered problems are proved.

Citation details of the article

Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 34
Issue: 2
Year: 2021

DOI: 10.12732/ijam.v34i2.4

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