Existence of weak solutions of two-point boundary value problems for second-order dynamic equations on time scales

被引：15

作者：

Jiang, Liqun ^{[1
,2
]}

Zhou, Zhan ^{[2
,3
]}

机构：

[1] Jishou Univ, Dept Math & Comp Sci, Jishou 416000, Hunan, Peoples R China

[2] Hunan Univ, Dept Appl Math, Changsha 410082, Hunan, Peoples R China

[3] Guangzhou Univ, Dept Appl Math, Guangzhou 510006, Guangdong, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 04期

基金：

中国国家自然科学基金;

关键词：

time scale; boundary value problem; critical point theory; second-order dynamic equation;

D O I：

10.1016/j.na.2007.06.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using critical point theory, we establish the existence of weak solutions of the two-point boundary value problem for a second-order dynamic equation on an arbitrary time scale T, so that the well known case of differential dynamic systems (T = R) and the recently developed case of discrete dynamic systems (T = Z) are unified. To the best of our knowledge, this is the first time that boundary value problems of dynamic equations on time scales have been dealt with by using critical point theory. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1376 / 1388

页数：13

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