Positive Solutions for p-Laplacian Fourth-Order Differential System with Integral Boundary Conditions

被引：19
|
作者：
Jiang, Jiqiang [1 ]
Liu, Lishan [1 ,2 ]
Wu, Yonghong [2 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China
[2] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2012年 / 2012卷
基金：
中国国家自然科学基金;
关键词：
PERIODIC-SOLUTIONS; EXISTENCE; EQUATION; MULTIPLICITY; FLOW;
D O I：
10.1155/2012/293734
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper investigates the existence of positive solutions for a class of singular p-Laplacian fourth-order differential equations with integral boundary conditions. By using the fixed point theory in cones, explicit range for lambda and mu is derived such that for any lambda and mu lie in their respective interval, the existence of at least one positive solution to the boundary value system is guaranteed.
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页数：19
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