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  

The Existence of Positive Solutions for the Second-Order Equation Systems of Multi-Point Boundary Value Problems with Dependence on the First Order Derivatives

作　　者：肖楠[1] 叶国妍[1] 许艳玲[2] 

机构地区：[1]石家庄学院数信系,河北石家庄050035 [2]河北科技大学理学院,河北石家庄050018

出　　处：《数学的实践与认识》2013年第7期213-219,共7页Mathematics in Practice and Theory

基　　金：石家庄学院科研启动基金(11YB008;12YB007)

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.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.

关 键 词：边值问题 正解 不动点定理 

分 类 号：O175.8[理学—数学]