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
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
