On solvability of some nonlocal boundary value problems for biharmonic equation-Reference-Cited by-同舟云学术

On solvability of some nonlocal boundary value problems for biharmonic equation

Published:2020-03-10 Issue:2 Volume:70 Page:329-342
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Karachik Valery¹,Turmetov Batirkhan²

Affiliation:

1. Department of Mathematical Analysis , South Ural State University (National Research University) , Prosp. Lenina 76 454080 , Chelyabinsk , Russia

2. Department of Mathematics , Khoja Akhmet Yassawi International Kazakh-Turkish University , Sattarkhanov ave., 29 161200 , Turkistan , Kazakhstan

Abstract

Abstract In this paper a new class of well-posed boundary value problems for the biharmonic equation is studied. The considered problems are nonlocal boundary value problems of Bitsadze- -Samarskii type. These problems are solved by reducing them to Dirichlet and Neumann type problems. Theorems on existence and uniqueness of the solution are proved and exact solvability conditions of the considered problems are found. In addition, the integral representations of solutions are obtained.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0355/pdf

Reference34 articles.

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4. Bitsadze, A. V.—Samarskii, A. A.: Some elementary generalizations of linear elliptic boundary value problems, Dokl. Akad. Nauk SSSR 185 (1969), 739–740, (in Russian).

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