EXISTENCE OF POSITIVE SOLUTIONS TO A THREE-POINT BOUNDARY VALUE PROBLEM FOR SECOND ORDER DYNAMIC EQUATIONS WITH DERIVATIVE ON TIME SCALES

• 作者: Fangfang Han Jinjun Fan
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 三点边值问题 正解的存在性 时间尺度 动力方程 二阶 衍生物 应用程序 不动点定理
• 年，卷（期）: 2014,（3）
• 页码范围: 282-290
• 页数: 9页
• 分类号: O175.8

摘要

In this paper, we consider the existence of positive solutions to a three-point boundary value problem for second order dynamic equations with derivative on time scales.Applying Leggett-Williams fixed point theorem, we obtain at least three positive solutions to the problem. An example is also presented to illustrate the applications of the results obtained.更多还原