Eigenvalues of second-order linear equations with coupled boundary conditions on time scales

被引：3

作者：

Zhang, Chao ^{[1
]}

Yang, Dianwu ^{[1
]}

机构：

[1] Univ Jinan, Sch Sci, Jinan 250022, Shandong, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2010年 / 33卷 / 1-2期

关键词：

Time scales; Second-order equation; Coupled condition; Eigenvalue problem;

D O I：

10.1007/s12190-009-0270-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider coupled boundary value problems for second-order linear equations on time scales. By properties of eigenvalues of the Dirichlet boundary value problem and some oscillation results, existence of eigenvalues of this boundary value problem is proved, numbers of their eigenvalues are calculated, and their relationships are obtained. These results not only extend the existing ones of coupled boundary value problems for second-order difference equations but also contain more complicated time scales.

引用

页码：1 / 21

页数：21

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