Triple positive pseudo-symmetric solutions of three-point BVPs for p-Laplacian dynamic equations on time scales

被引：23

作者：

Su, You-Hui ^{[1
,2
]}

Li, Wan-Tong ^{[1
]}

Sun, Hong-Rui ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

[2] Hexi Univ, Dept Math, Zhangye 734000, Gansu, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 06期

基金：

中国国家自然科学基金;

关键词：

time scales; boundary value problem; positive pseudo-symmetric solutions; p-Laplacian; fixed-point theorem;

D O I：

10.1016/j.na.2006.12.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let T be a time scale such that 0, T is an element of T. We consider the three-point boundary value problem for p-Laplacian dynamic equations on time scales T of the form (phi(p)(u(Delta)(t)))(del) + h(t)f (t, u(t)) = 0 for t is an element of (0, T)(T) with boundary conditions u(0) = 0, u(eta) = u(T), where T is symmetric in [eta, T](T) and phi(p)(u) = vertical bar u vertical bar(p-2) u with p > 1. By using a pseudo-symmetric technique and the five-functionals fixed-point theorem, we prove that the boundary value problem has at least three positive pseudo-symmetric solutions under some assumptions. As an application, an example is given to illustrate the result. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1442 / 1452

页数：11

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