Asymptotics of eigenvalues for regular Sturm-Liouville problems with eigenvalue parameter in the boundary condition

被引：10

作者：

Coskun, H ^{[1
]}

Bayram, N ^{[1
]}

机构：

[1] Karadeniz Tech Univ, Dept Math, TR-61080 Trabzon, Turkey

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 306卷 / 02期

关键词：

Sturm-Liouville problems; eigenvalues; eigenparameter; asymptotics;

D O I：

10.1016/j.jmaa.2004.10.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we obtain asymptotic estimates of eigenvalues for regular Sturm-Liouville problems having the eigenparameter in the boundary condition. The method is based on an iterative procedure solving the associated Riccati equation and producing an asymptotic expansion of the solution in the higher powers of 1/lambda(1/2) as lambda -> infinity. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：548 / 566

页数：19

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