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含一阶导数的二阶微分方程组m点边值问题正解的存在性
引用本文:肖楠,叶国妍,许艳玲.含一阶导数的二阶微分方程组m点边值问题正解的存在性[J].数学的实践与认识,2013,43(7).
作者姓名:肖楠  叶国妍  许艳玲
作者单位:1. 石家庄学院数信系,河北 石家庄,050035
2. 石家庄学院数信系,河北石家庄,050035
3. 河北科技大学理学院,河北石家庄,050018
基金项目:石家庄学院科研启动基金
摘    要:讨论了二阶带一阶导数的微分方程组m点边值问题正解的存在性,利用一个新的不动点定理,得到上述问题具有一个正解的充分条件.

关 键 词:边值问题  正解  不动点定理

The Existence of Positive Solutions for the Second-Order Equation Systems of Multi-Point Boundary Value Problems with Dependence on the First Order Derivatives
XIAO-Nan , YE Guo-yan , XU Yan-ling.The Existence of Positive Solutions for the Second-Order Equation Systems of Multi-Point Boundary Value Problems with Dependence on the First Order Derivatives[J].Mathematics in Practice and Theory,2013,43(7).
Authors:XIAO-Nan  YE Guo-yan  XU Yan-ling
Abstract:In this paper,we discuss the existence of positive solutions for the two order differential equation with a derivative of group m point boundary value problem.By a new fixed point in a cone,we provide sufficient conditions under which the above problem has at least one positive.
Keywords:boundary value problem  positive solution  fixed point theorem
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