Sturm-Liouville eigenvalue problems on time scales

被引：167

作者：

Agarwal, RP

Bohner, M

Wong, PJY

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore

[2] Nanyang Technol Univ, Div Math, Singapore 259756, Singapore

来源：

APPLIED MATHEMATICS AND COMPUTATION | 1999年 / 99卷 / 2-3期

关键词：

Sturm-Liouville eigenvalue problem; time scale; Rayleigh's principle; generalized zero; oscillation theorem; comparison theorem;

D O I：

10.1016/S0096-3003(98)00004-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For Sturm-Liouville eigenvalue problems on time scales with separated boundary conditions we give an oscillation theorem and establish Rayleigh's principle. Our results not only unifiy the corresponding theories for differential and difference equations, but are also new in the discrete case, (C) 1999 Published by :Elsevier Science Inc. All rights reserved.

引用

页码：153 / 166

页数：14

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