Title of article
Inverse Boundary Value Problem for a Third-Order Partial Differential Equation with Integral Conditions
Author/Authors
Seyfaddin Aliyev ، Ziyatkhan Department of Mathematical Analysis,Department of Differential Equations - Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan, Institute of Mathematics and Mechanics National - Baku State University , Topush Mehraliyev ، Yashar Department of Differential Equations - Baku State University , Haci Yusifova ، Elmira Department of Differential Equations - Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan
From page
1641
To page
1660
Abstract
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.
Keywords
Inverse boundary value problem , Partial differential equation of third , order , Integral boundary condition , Fixed point theorem ,
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2744064
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