Spectral data characterization for the Sturm–Liouville operator on the star-shaped graph

被引：0
作者：
Natalia P. Bondarenko
机构：
[1] Samara National Research University,Department of Applied Mathematics and Physics
[2] Saratov State University,Department of Mechanics and Mathematics
来源：
Analysis and Mathematical Physics | 2020年 / 10卷
关键词：
Inverse spectral problem; Sturm–Liouville operator on graph; Differential operators on graphs; Quantum graphs; Spectral data characterization; Local solvability; stability; Method of spectral mappings; 34A55; 34B07; 34B09; 34B45; 34L40; 47E05;
D O I：
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学科分类号：
摘要：
The inverse spectral problems are studied for the Sturm–Liouville operator on the star-shaped graph and for the matrix Sturm–Liouville operator with one boundary condition in the general self-adjoint form. We obtain necessary and sufficient conditions of solvability for these two inverse problems, and also prove their local solvability and stability.
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