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

被引：1
作者：
Aliyev, Ziyatkhan Seyfaddin [1 ,2 ]
Mehraliyev, Yashar Topush [3 ]
Yusifova, Elmira Haci [2 ]
机构：
[1] Baku State Univ, Dept Math Anal, Baku 1148, Azerbaijan
[2] Natl Acad Sci Azerbaijan, Inst Math & Mech, Dept Differential Equat, Baku 1141, Azerbaijan
[3] Baku State Univ, Dept Differential Equat, Baku 1148, Azerbaijan
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2021年 / 47卷 / 06期
关键词：
Inverse boundary value problem; Partial differential equation of third-order; Integral boundary condition; Fixed point theorem; SOLVABILITY;
D O I：
10.1007/s41980-020-00464-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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
收藏
页码：1641 / 1660
页数：20
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