Inverse Problems for Differential Operators with Indefinite Discontinuous Weights

被引:0
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作者
V. Yurko
机构
[1] Saratov State University,Department of Mathematics
来源
Results in Mathematics | 2020年 / 75卷
关键词
Differential operators; indefinite discontinuous weights; inverse spectral problems; method of spectral mappings; 34A55; 34B24; 47E05;
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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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