时标上Sturm-Liouville问题的有限谱

J4 ›› 2013, Vol. 48 ›› Issue (09): 96-102.

时标上Sturm-Liouville问题的有限谱

赵娜

天津大学理学院, 天津 300072

收稿日期:2013-02-28 出版日期:2013-09-20 发布日期:2013-09-25
作者简介:赵娜(1987- )，女，硕士研究生，研究方向为微分算子谱理论. Email:0918chunhua@163.com

The finite spectrum of SturmLiouville problems on time scales

ZHAO Na

School of Science, Tianjin University, Tianjin 300072, China

Received:2013-02-28 Online:2013-09-20 Published:2013-09-25

摘要/Abstract

摘要：

将有界时标T进行分割,使得在相邻子区间上Sturm-Liouville问题的系数满足特定的条件,从而构造出了时标T上具有有限谱的一类Sturm-Liuouille问题,将连续区间上SturmLiuouille问题的有限谱性质推广到时标上。

关键词: Sturm-Liouville问题; 时标; 有限; 特征值

Abstract:

In this paper, we partition the bounded time scale such that the coefficients of Sturm-Liouville problems satisfy some certain conditions on adjacent subintervals. In this case, we can construct a kind of Sturm-Liouville problems with finite spectrum on bounded time scales, and it is the extension of classical SturmLiouville problems defined on continuous intervals.

Key words: Sturm-Liouville problems; time scales; finite; eigenvalues

赵娜. 时标上Sturm-Liouville问题的有限谱[J]. J4, 2013, 48(09): 96-102.

ZHAO Na. The finite spectrum of SturmLiouville problems on time scales[J]. J4, 2013, 48(09): 96-102.

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