On Some Inverse Problems for First Order Operator-Differential Equations

被引:0
|
作者
S. G. Pyatkov
机构
[1] Yugra State University,
[2] Sobolev Institute of Mathematics,undefined
来源
Siberian Mathematical Journal | 2019年 / 60卷
关键词
operator-differential equation; Cauchy problem; inverse problem; existence of a solution; uniqueness;
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摘要
We study solvability of the inverse problems of recovering an unknown function on the nonlinear right-hand side of a first order operator-differential equation in some Banach space. The equation is furnished with the Cauchy data, and the overdetermination condition is the value of some operator at a solution. The existence and uniqueness theorems local in time are established.
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页码:140 / 147
页数:7
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