An expansion result for a Sturm-Liouville eigenvalue problem with impulse

被引：16

作者：

Faydaoglu, Serife ^{[1
]}

Guseinov, Gusein Sh ^{[2
]}

机构：

[1] Dokuz Eylul Univ, Dept Engn, TR-35160 Izmir, Turkey

[2] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey

来源：

TURKISH JOURNAL OF MATHEMATICS | 2010年 / 34卷 / 03期

关键词：

Green's function; Completely continuous operator; Impulse conditions; Eigenvalue; Eigenvector; DISCONTINUITY CONDITIONS;

D O I：

10.3906/mat-0809-34

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper is concerned with an eigenvalue problem for second order differential equations with impulse. Such a problem arises when the method of separation of variables applies to the heat conduction equation for two-layered composite. The existence of a countably infinite set of eigenvalues and eigenfunctions is proved and a uniformly convergent expansion formula in the eigenfunctions is established.

引用

页码：355 / 366

页数：12

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