节点文献
非线性四阶两点积分边值问题正解的存在性
Existence of Positive Solutions for Nonlinear Fourth-order Two-point Integral Boundary Value Problems
【摘要】 研究非线性四阶微分方程两点积分边值问题解的存在性.利用一些分析技巧及锥上不动点定理,给出该问题存在一个及两个正解的充分条件.
【Abstract】 The existence of positive solutions of integral boundary value problems for a class of fourth-order two-point nonlinear differential equations was studied.By using the fixed point theorem in cones and some analytical techniques,some sufficient conditions for the existence of one and two positive solutions for the problems were presented.
【关键词】 锥;
正解;
积分边值问题;
不动点;
【Key words】 cone; positive solutions; integral boundary value problem; fixed point theorem;
【Key words】 cone; positive solutions; integral boundary value problem; fixed point theorem;
【基金】 华侨大学侨办科研基金资助项目(09QZR10)
- 【文献出处】 集美大学学报(自然科学版) ,Journal of Jimei University(Natural Science) , 编辑部邮箱 ,2012年05期
- 【分类号】O175.8
- 【被引频次】5
- 【下载频次】19