Inverse problem for dirac system with singularities in interior points

被引：1
|
作者：
Oleg Gorbunov
Viacheslav Yurko
机构：
[1] Saratov State University,Department of Mathematics
来源：
Analysis and Mathematical Physics | 2016年 / 6卷
关键词：
Differential systems; Singularity; Spectral analysis; Inverse problems; 34A55; 34L40; 34A36; 47E05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the non-selfadjoint Dirac system on a finite interval having non-integrable regular singularities in interior points with additional matching conditions at these points. Properties of spectral characteristics are established, and the inverse spectral problem is investigated. We provide a constructive procedure for the solution of the inverse problem, and prove its uniqueness. Moreover, necessary and sufficient conditions for the global solvability of this nonlinear inverse problem are obtained.
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页码：1 / 29
页数：28
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