Inverse Problems for Differential Operators with Indefinite Discontinuous Weights

被引：0
|
作者：
Yurko, V [1 ]
机构：
[1] Saratov NG Chernyshevskii State Univ, Dept Math, Astrakhanskaya 83, Saratov 410012, Russia
来源：
RESULTS IN MATHEMATICS | 2020年 / 75卷 / 04期
基金：
俄罗斯基础研究基金会;
关键词：
Differential operators; indefinite discontinuous weights; inverse spectral problems; method of spectral mappings;
D O I：
10.1007/s00025-020-01266-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Non-self-adjoint second-order differential operators on a finite interval with indefinite discontinuous weights are studied. Properties of spectral characteristics are established and inverse problems of recovering operators from their spectral characteristics are investigated. For these class of nonlinear inverse problems algorithms for constructing the global solutions are developed, and uniqueness theorems are proved.
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页数：13
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