Inverse nodal problem for discontinuous Sturm-Liouville operator by new Prufer Substitutions

被引：10

作者：

Koyunbakan, Hikmet ^{[1
]}

Mosazadeh, Seyfollah ^{[2
]}

机构：

[1] Firat Univ, Fac Sci, Dept Math, TR-23119 Elazig, Turkey

[2] Univ Kashan, Fac Math Sci, Dept Math, Kashan 8731753153, Iran

来源：

MATHEMATICAL SCIENCES | 2021年 / 15卷 / 04期

关键词：

Prü fer substitutions; Discontinuous conditions; Nodal points; Inverse nodal problem; Lipschitz stability; SPECTRAL PROBLEMS; DIFFERENTIAL OPERATOR; EIGENVALUE PARAMETER; BOUNDARY; UNIQUENESS; EQUATIONS;

D O I：

10.1007/s40096-021-00383-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, a boundary value problem consisting of a Sturm-Liouville equation with boundary conditions dependent on the eigenparameter and discontinuous conditions inside the interval is investigated. We present new Prufer substitutions and obtain the asymptotic form of eigenvalues, nodal points and nodal lengths. Then, we prove the uniqueness theorem for the solution of the inverse nodal problem, present a constructive procedure for the potential function by using nodal lengths. Finally, we study Lipschitz stability for the inverse problem.

引用

页码：387 / 394

页数：8

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