Spectral Analysis of q-Sturm-Liouville Problem with the Spectral Parameter in the Boundary Condition

被引：15

作者：

Eryilmaz, Aytekin ^{[1
]}

机构：

[1] Nevsehir Univ, Dept Math, TR-50300 Nevsehir, Turkey

来源：

JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2012年

关键词：

DIFFERENCE-OPERATORS; EQUATIONS;

D O I：

10.1155/2012/736437

中图分类号：

学科分类号：

摘要：

This paper is concerned with q-Sturm-Liouville boundary value problem in the Hilbert space with a spectral parameter in the boundary condition. We construct a self-adjoint dilation of the maximal dissipative q-difference operator and its incoming and outcoming spectral representations, which make it possible to determine the scattering matrix of the dilation. We prove theorems on the completeness of the system of eigenvalues and eigenvectors of operator generated by boundary value problem.

引用

页数：17

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