一类非线性微分方程耦合系统无穷边值问题解的存在性  

Existence of Solutions of Infinte Boundary Value Problems for a Class of Nonlinear Coupled Differential Equations Systems

作　　者：张海燕[1] 李耀红[1] 

机构地区：[1]宿州学院数学与统计学院,安徽宿州234000

出　　处：《淮北师范大学学报（自然科学版）》2015年第2期1-5,共5页Journal of Huaibei Normal University：Natural Sciences

基　　金：安徽省教育厅自然科学基金重点项目(2014A252);宿州学院优秀青年人才资助项目(2014XQNRLO01)

摘　　要：在Banach空间中,利用Mnch不动点定理,结合一个新的比较结果,研究一类一阶非线性微分方程耦合系统无穷边值问题,其非线性项和边值条件均具有耦合性.获得该问题解的存在性定理,并给出一个应用实例.By applying the Mnch fixed theorem and using a new comparison result,we study existence of solutions of infinte boundary value problems for a class of nonlinear coupled differential equations systems in Banach spaces,where the system is coupled not only in the differential system but also through the boundary conditions. A new existence theorem is established.As an application,we give an example to demonstrate our result.

关 键 词：BANACH空间 边值问题 不动点定理 比较结果 

分 类 号：O177.91[理学—数学]