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一类泛函微分方程边值问题的多重正解
Multiple Positive Solutions of Boundary Value Problems for a Class of Functional Differential Equations
【摘要】 本文讨论了一类二阶泛函微分方程边值问题。首先将此问题转化为分段的积分方程,然后利用锥上的不动点定理讨论了其多重正解的存在性,得到了此二阶泛函微分方程存在两个正解的结果。
【Abstract】 In this paper, we discuss the boundary value problems for a class of second order functional differential equations. We first transform it into a piecewise integral equation, then apply a fixed point theorem on cones to discuss the existence of its multiple positive solutions. It is proved that the second order functional differential equation exists two positive solutions.
【关键词】 泛函微分方程;
正解;
锥;
全连续;
【Key words】 functional differential equations; positive solutions; cone; completely continuous;
【Key words】 functional differential equations; positive solutions; cone; completely continuous;
【基金】 国家自然科学基金(10371068);山西省自然科学基金(20041003)
- 【文献出处】 工程数学学报 ,Chinese Journal of Engineering Mathematics , 编辑部邮箱 ,2007年04期
- 【分类号】O177.91
- 【被引频次】1
- 【下载频次】75