THREE POSITIVE SOLUTIONS TO BVP FOR p-LAPLACIAN IMPULSIVE FUNCTIONAL DYNAMIC EQUATIONS ON A TIME SCALE

• 作者: Lijian Yin Zhiyu Zhang
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: P-LAPLACE算子 正解的存在性 时间尺度 BVP 动力方程 脉冲 动力学方程 泛函
• 年，卷（期）: 2014,（2）
• 页码范围: 236-243
• 页数: 8页
• 分类号: O175.26

摘要

In this paper,we are interested in the existence of three positive solutions to a BVP for p-Laplacian impulsive functional dynamic equations on a time scale.Using the five-functional fixed theory,we establish a Banach space and an appropriate operator.In this paper,we combine the delta-nabla p-Laplacian BVP with impulsive functional dynamic equations,and obtain some new sufficient conditions for the existence of three positive solutions to the BVP,and our result here generalizes the previous related results.