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测度链上p-Laplacian边值问题的三个正对称解
  • 期刊名称：数学物理学报
  • 时间：0
  • 页码：1-12
  • 语言：中文
  • 分类：O175.14[理学—数学;理学—基础数学]
  • 作者机构：[1]徐州工程学院数理学院,徐州221008, [2]兰州大学数学与统计学院,兰州730000
  • 相关基金：国家自然科学基金（10571078）和教育部高等学校教学科研奖励计划资助
  • 相关项目：测度链上时滞动力方程的周期解和边值问题
作者： Li, Wan-Tong|Su, You-Hui|
关键词： 测度链, 边值问题, 正对称解, P-Laplacian, 不动点定理, Time scales, Boundary value problem, Positive symmetric solution, p-Laplacian, Fixed point theorem.
中文摘要：

该文研究了p-Laplacian动力边值问题（g（u^△（t）））△＋a（t）f（t，u（t））=0，t∈[0，T]T,u（0）=u（T）=w，u△（0）=-u^△（T）正解的存在性．其中W是非负实数，g（v）=｜v｜p-2v1 P＞1．根据对称技巧和五泛函不动点定理，证明了边值问题至少有三个正的对称解，同时，给出了一个例子验证了我们的结果。

英文摘要：

This paper is concerned with the p-Laplacian boundary value problem （g（u^△（t）））△＋a（t）f（t,u（t））=0,for t∈[0,T]T,u（0）=u（T）=w,u△（0）=-u^△（T）, where w is a nonnegative real number and g（v）= ｜v｜p-2 v with p 〉 1. By using symmetry technique and a five functionals fixed-point theorem, we prove that the boundary value problem has at least three positive symmetric solutions. As application, an example is given to illustrate our result.

同期刊论文项目
测度链上时滞动力方程的周期解和边值问题
期刊论文 50 获奖 1
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