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Boundary Value Problems for a Fourth Order Partial Differential Equation with an Unknown Right-hand Part
Lobachevskii Journal of Mathematics Pub Date : 2021-05-06 , DOI: 10.1134/s1995080221030203
A. K. Urinov , M. S. Azizov

Abstract

In this article in a rectangular domain inverse boundary value problems with local and non-local boundary conditions for a fourth order partial differential equation were formulated and investigated. The solutions of the inverse problems were obtained in the form of Fourier series. It was proved the theorem on uniqueness and existence of the solution of the inverse problems under consideration.



中文翻译:

右手未知的四阶偏微分方程的边值问题

摘要

在本文中,研究并研究了四阶偏微分方程在局部和非局部边界条件下的矩形域逆边值问题。反问题的解以傅立叶级数形式获得。证明了所考虑的反问题解的唯一性和存在性定理。

更新日期:2021-05-06
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