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

被引：0
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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：
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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.
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页码：1641 / 1660
页数：19
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