Triple positive solutions for p-Laplacian m-point boundary value problem on time scales

被引：16
作者：
Sun, Hong-Rui [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 09期
关键词：
Time scales; Positive solution; Cone; Fixed point; DYNAMIC EQUATIONS; EXISTENCE;
D O I：
10.1016/j.camwa.2009.07.083
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we discuss the following p-Laplacian m-point boundary value problem on time scales T: (phi(p)(u(Delta)(t)))(del) + h(t)f(t, u(t), u(Delta)(t)) = 0, t is an element of (0, T)(T), u(0) = 0, phi(p)(u(Delta)(T)) = Sigma(m-2)(i=1)a(i)phi(p) (u(Delta)(xi(i))), where phi(p)(u) = vertical bar u vertical bar(p-2)u for p > 1. Some new existence criteria for at least three positive solutions are established by using a generalization of the Leggett-Williams fixed point theorem due to Bai and Ge. An example is also given to demonstrate the main result. (C) 2009 Elsevier Ltd. All rights reserved.
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收藏
页码：1736 / 1741
页数：6
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