On eigenvalues of some boundary value problems for a polynomial pencil of Sturm-Liouville equation

被引：3
|
作者：
Agamaliyev, A [1 ]
Nabiyev, A
机构：
[1] Univ Istanbul, Dept Math, Fac Sci, Istanbul, Turkey
[2] Demirel Univ, Fac Sci, Dept Math, TR-32260 Isparta, Turkey
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 165卷 / 03期
关键词：
Sturm-Liouville equation; boundary value problems; transformation operators; spectral theory of differential operators; asymptotic formulas; fractional derivatives; eigenvalues; eigenfunctions; theory of complex functions; polynomial pencils;
D O I：
10.1016/j.amc.2004.04.116
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The boundary value problems for polynomial pencil of Sturm-Liouville operators are investigated. Using the properties of the transformation operators for such operators, the asymptotic formulas for eigenvalues of corresponding problems are obtained. (c) 2004 Elsevier Inc. All rights reserved.
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页码：503 / 515
页数：13
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