Direct and Inverse Problems for the Matrix Sturm-Liouville Operator with General Self-Adjoint Boundary Conditions

被引：8
作者：
Bondarenko, N. P. [1 ,2 ]
机构：
[1] Samara Natl Res Univ, Dept Appl Math & Phys, Samara 443086, Russia
[2] Dept Mech & Math, Saratov 410012, Russia
来源：
MATHEMATICAL NOTES | 2021年 / 109卷 / 3-4期
基金：
俄罗斯科学基金会;
关键词：
matrix Sturm-Liouville operator; singular potential; Sturm-Liouville operators on graphs; eigenvalue asymptotics; Riesz-basicity of eigenfunctions; inverse problem; uniqueness theorem; SCHRODINGER-TYPE OPERATORS; SPECTRAL PROBLEMS; EIGENVALUES; POTENTIALS;
D O I：
10.1134/S0001434621030044
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The matrix Sturm-Liouville operator on a finite interval with boundary conditions in general self-adjoint form and with singular potential of class W-2(-1) is studied. This operator generalizes Sturm-Liouville operators on geometrical graphs. We investigate structural and asymptotical properties of the spectral data (eigenvalues and weight matrices) of this operator. Furthermore, we prove the uniqueness of recovering the operator from its spectral data, by using the method of spectral mappings.
引用
收藏
页码：358 / 378
页数：21
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