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一类非线性微分方程解的存在性
Existence of Solutions for a Class of Nonlinear Differential Equation
【摘要】 考虑了一类非线性微分方程边值问题.通过应用Krasnoselskii锥不动点定理及不动点指数给出了这类问题解的存在性及多解性.所得结果推广了最近文献中一些相关结论.
【Abstract】 The main purpose of this paper is to examine the existence and multiplicity of solutions for a kind of nonlinear differential equation by employing the krasnosel skii’s fixed point theorem and fixed point index theory,Our conclusions generalize some relevant result.
【关键词】 微分方程;
Krasnoselskii锥不动点定理;
解的存在性;
【Key words】 differential equation; krasnosel skii’s fixed point theorem; existence of solutions;
【Key words】 differential equation; krasnosel skii’s fixed point theorem; existence of solutions;
【基金】 山西省自然科学基金(2008011002-3);山西财经大学学院科研创新团队基金
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2010年16期
- 【分类号】O175.8
- 【下载频次】99