| 一类二阶微分方程三点边值问题正解的存在性 |
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| 引用本文： | 李海艳,沈洁琼.一类二阶微分方程三点边值问题正解的存在性[J].平顶山学院学报,2014(5):20-24. |
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| 作者姓名： | 李海艳 沈洁琼 |
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| 作者单位： | 四川大学锦城学院 基础课部 数学教研室,四川 成都,611731 |
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| 摘 要： | 讨论了一类带有变系数h(t)的二阶微分方程的三点边值问题,其中非线性项f是一个Quasi-Carathéodory-函数.通过构造一个特殊的锥,利用不动点指数理论获得该问题正解的存在性定理.
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| 关 键 词： | 微分方程 正解 不动点指数理论 边值问题 |
The Existence of Positive Solutions for a Class of Three - point Boundary Value Problem of Second Order Differential Equations |
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| LI Haiyan,SHEN Jieqiong.The Existence of Positive Solutions for a Class of Three - point Boundary Value Problem of Second Order Differential Equations[J].Journal of Pingdingshan University,2014(5):20-24. |
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| Authors: | LI Haiyan SHEN Jieqiong |
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| Institution: | ,Department of Mathematics,Jincheng College of Sichuan University |
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| Abstract: | In this paper,we discuss a class of three-point boundary value problem of second-order differential equations with variable coeffcient h( t),where the nonlinear term f is a Quasi-Carathéodory condition. The existence theorem of positive solution for the problem is obtained by using the fixed point index theory and establishing an especial cone. |
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| Keywords: | impulsive differential equations positive solutions fixed point index theorem boundary value problem |
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