DISSIPATIVE STURM-LIOUVILLE OPERATORS WITH A SPECTRAL PARAMETER IN THE BOUNDARY CONDITION ON BOUNDED TIME SCALES

被引：0

作者：

Allahverdiev, Bilender P. ^{[1
]}

Eryilmaz, Aytekin ^{[2
]}

Tuna, Huseyin ^{[3
]}

机构：

[1] Suleyman Demirel Univ, Fac Arts & Sci, Dept Math, TR-32260 Isparta, Turkey

[2] Nevsehir Univ, Dept Math, Nevsehir, Turkey

[3] Mehmet Akif Ersoy Univ, Dept Math, Burdur, Turkey

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年

关键词：

Time scale; Delta-differentiable; dilation; dissipative operator; system of eigenvectors; scattering matrix; functional model; characteristic function; EIGENVALUE PARAMETER; ELLIPTIC-OPERATORS; MODEL; EIGENPARAMETER; DILATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we consider a second-order Sturm-Liouville operator with a spectral parameter in the boundary condition on bounded time scales. We construct a selfadjoint dilation of the dissipative Sturm-Liouville operators. Using by methods of Pavlov [40, 41, 42], we prove the completeness of the system of eigenvectors and associated vectors of the dissipative Sturm-Liouville operators on bounded time scales.

引用

页数：13

共 50 条

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