Sturm-Liouville eigenvalue problems on time scales

被引:168
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
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
收藏
页码:153 / 166
页数:14
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