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超线性奇异泛函微分方程两个正解的存在性
The Existence of Two Positive Solutions of Super-linear Singular Functional Boundary Value Problems
【摘要】 通过构造一个特殊的锥,利用不动点指数理论研究在f(u)是超线性的情况下,建立了一类奇异泛函微分方程边值问题两个正解的存在性定理.
【Abstract】 This paper studies the existence of two positive solutions for a class of singular super-linear boundary value problems whose nonlinear term is super-linear. The result is obtained by constructing a special cone ,using fixed point index theorem.
【关键词】 泛函微分方程;
奇异;
不动点指数;
正解;
【Key words】 functional differential equation; singular; cone; fixed point index; positive solutions;
【Key words】 functional differential equation; singular; cone; fixed point index; positive solutions;
- 【文献出处】 聊城大学学报(自然科学版) ,Journal of Liaocheng University(Natural Science Edition) , 编辑部邮箱 ,2006年02期
- 【分类号】O175.8
- 【下载频次】20