The one-dimensional Schrodinger operator on bounded time scales

被引：3

作者：

Tuna, Huseyin ^{[1
]}

Ozek, Mehmet Afsin ^{[2
]}

机构：

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

[2] Suleyman Demirel Univ, Dept Math, Isparta, Turkey

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 01期

关键词：

time scales; the one-dimensional Schrodinger operator; Delta-differentiable; dissipative operator; completeness of the system of eigenvectors and associated vectors; Lidskii's theorem; boundary value space; DYNAMIC EQUATIONS; COMPLETENESS;

D O I：

10.1002/mma.3966

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the one-dimensional Schrodinger operator on bounded time scales. We construct a space of boundary values of the minimal operator and describe all maximal dissipative, maximal accretive, self-adjoint, and other extensions of the dissipative Schrodinger operators in terms of boundary conditions. In particular, using Lidskii's theorem, we prove a theorem on completeness of the system of root vectors of the dissipative Schrodinger operators on bounded time scales. Copyright (C) 2016 John Wiley & Sons, Ltd.

引用

页码：78 / 83

页数：6

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