A class of second-order differential operators with eigenparameter-dependent boundary and transmission conditions

被引：7
|
作者：
Sen, Erdogan [1 ,2 ]
机构：
[1] Namik Kemal Univ, Fac Sci & Letters, Dept Math, TR-59030 Tekirdag, Turkey
[2] Istanbul Tech Univ, Dept Engn Math, TR-34469 Istanbul, Turkey
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2014年 / 37卷 / 18期
关键词：
asymptotics of eigenvalues and eigenfunctions; differential operator; spectrum; transmission conditions; STURM-LIOUVILLE PROBLEMS; EIGENVALUE PARAMETER; SPECTRAL PARAMETER; ASYMPTOTICS;
D O I：
10.1002/mma.3033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, we investigate a Sturm-Liouville type problem with eigenparameter-dependent boundary conditions and eigenparameter-dependent transmission conditions. By establishing a new self-adjoint operator A associated with the problem, we construct fundamental solutions and obtain asymptotic formulae for its eigenvalues and fundamental solutions. Also we investigate some properties of its spectrum. Copyright (c) 2013 John Wiley & Sons, Ltd.
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页码：2952 / 2961
页数：10
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