Inverse Boundary Value Problem for a Third-Order Partial Differential Equation with Integral Conditions

被引：0

作者：

Ziyatkhan Seyfaddin Aliyev

Yashar Topush Mehraliyev

Elmira Haci Yusifova

机构：

[1] Baku State University,Department of Mathematical Analysis

[2] Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan,Department of Differential Equations

[3] Baku State University,Department of Differential Equations

来源：

Bulletin of the Iranian Mathematical Society | 2021年 / 47卷

关键词：

Inverse boundary value problem; Partial differential equation of third-order; Integral boundary condition; Fixed point theorem; 35G31; 35P10; 35R30; 47H10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we study a nonlinear inverse problem for a third-order partial differential equation with integral conditions. This inverse problem is formulated as an auxiliary inverse problem which, in turn, is reduced to the operator equation in a specified Banach space using the method of spectral analysis. Finally, the existence and uniqueness of this operator equation is proved by applying the contraction mapping principle.

引用

页码：1641 / 1660

页数：19

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