具有时滞的二阶微分方程三点边值问题三个正解的存在性

J4 ›› 2012, Vol. 47 ›› Issue (12): 109-114.

具有时滞的二阶微分方程三点边值问题三个正解的存在性

郑春华

陕西工业职业技术学院基础部, 陕西咸阳 712000

收稿日期:2011-10-14 出版日期:2012-12-20 发布日期:2012-12-14
作者简介:郑春华(1982- ),男,讲师,硕士,研究方向为微分方程边值问题.Email:zhengchunhuaxuzhou@126.com
基金资助:
陕西工院科研项目(zk1018)

The existence of triple positive solutions to a three-point boundary value problem of second order differential equation with delay

ZHENG Chun-hua

Basic Department, Shaanxi Polytechnic Institute, Xianyang 712000, Shaanxi, China

Received:2011-10-14 Online:2012-12-20 Published:2012-12-14

摘要/Abstract

摘要：

研究了一类具有时滞的二阶微分方程三点边值问题。在构造新函数空间和新泛函的基础上,利用分析技巧和AveryPeterson不动点定理得到了该边值问题存在三个正解的充分条件,推广和完善了已有的结果。

关键词: 时滞;正解;三点边值问题;AveryPeterson不动点定理

Abstract:

A class of three-point boundary value problem of second order differential equation with delay is studied. On the base of constructing new function space and functionals, some sufficient conditions on the existence of triple positive solutions for this boundary value problem are obtained by using analysis techniques and Avery-Peterson fixed point theorem. Some known results are extended and improved.

Key words: delay; positive solution; three-point boundary value problem; Avery-Peterson fixed point theorem

郑春华. 具有时滞的二阶微分方程三点边值问题三个正解的存在性[J]. J4, 2012, 47(12): 109-114.

ZHENG Chun-hua. The existence of triple positive solutions to a three-point boundary value problem of second order differential equation with delay[J]. J4, 2012, 47(12): 109-114.

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