Inverse problem for a quasilinear hyperbolic equation with a nonlocal boundary condition containing a delay argument

被引：0
作者：
A. M. Denisov
E. Yu. Shirkova
机构：
[1] Moscow State University,
来源：
Differential Equations | 2013年 / 49卷
关键词：
Inverse Problem; Uniqueness Theorem; Hyperbolic Equation; Nonlocal Condition; Maximum Root;
D O I：
暂无
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学科分类号：
摘要：
We consider a problem for a quasilinear hyperbolic equation with a nonlocal condition that contains a retarded argument. By reducing this problem to a nonlinear integrofunctional equation, we prove the existence and uniqueness theorem for its solution. We pose an inverse problem of finding a solution-dependent coefficient of the equation on the basis of additional information on the solution; the information is given at a fixed point in space and is a function of time. We prove the uniqueness theorem for the solution of the inverse problem. The proof is based on the derivation and analysis of an integro-functional equation for the difference of two solutions of the inverse problem.
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页码：1053 / 1061
页数：8
相关论文
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