INVERSE PROBLEMS FOR A MIXED PARABOLIC-HYPERBOLIC EQUATION WITH A DEGENERATE PARABOLIC PART

被引：8
|
作者：
Sidorov, S. N. [1 ]
机构：
[1] Inst Strateg Studies Republ Bashkortostan, Sterlitamak Branch, 68 Odesskaya Str, Sterlitamak 453103, Russia
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2019年 / 16卷
关键词：
equation of mixed parabolic-hyperbolic type; initial-boundary value problem; inverse problems; uniqueness; existence; series; small denominators; integral equations; BOUNDARY VALUE-PROBLEM; INITIAL-BOUNDARY;
D O I：
10.33048/semi.2019.16.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, inverse problems are posed and studied to determine the factors of the right-hand sides of a mixed parabolic-hyperbolic type with a degenerate parabolic part, depending on time. On the basis of the theory of integral equations, the corresponding uniqueness theorems and the existence of solutions of inverse problems were proved, and explicit formulas for the solution were obtained.
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页码：144 / 157
页数：14
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