Recovering Differential Operators on the Half-Line with Indefinite Discontinuous Weights

被引:0
作者
Yurko, Vjacheslav [1 ]
机构
[1] Saratov NG Chernyshevskii State Univ, Dept Math, Astrakhanskaya 83, Saratov 410012, Russia
来源
TAMKANG JOURNAL OF MATHEMATICS | 2021年 / 52卷 / 01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; INVERSE SPECTRAL PROBLEMS;
D O I
10.5556/j.tkjm.52.2021.3721
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Non-self-adjoint second-order differential operators on the half-line 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.
引用
收藏
页码:155 / 169
页数:15
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