On impulsive Sturm-Liouville operators with Coulomb potential and spectral parameter linearly contained in boundary conditions

被引：0

作者：

Amirov R.K. ^{[1
]}

Topsakal N. ^{[1
]}

Güldü Y. ^{[1
]}

机构：

[1] Cumhuriyet University, Sivas

来源：

Ukrainian Mathematical Journal | 2011年 / 62卷 / 9期

关键词：

Inverse Problem; Spectral Parameter; Coulomb Potential; Jump Condition; Liouville Equation;

D O I：

10.1007/s11253-011-0436-9

中图分类号：

学科分类号：

摘要：

The Sturm-Liouville problem with linear discontinuities is investigated in the case where an eigenparameter appears not only in a differential equation but also in boundary conditions. Properties and the asymptotic behavior of spectral characteristics are studied for the Sturm-Liouville operators with Coulomb potential that have discontinuity conditions inside a finite interval. Moreover, the Weyl function for this problem is defined and uniqueness theorems are proved for a solution of the inverse problem with respect to this function. © 2011 Springer Science+Business Media, Inc.

引用

页码：1345 / 1366

页数：21

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