共振情形下四点泛函边值问题解的存在性  

Solvability of functional differential equations with four-point boundary value problem at resonance

作　　者：杜睿娟[1] 

机构地区：[1]甘肃政法学院计算机科学学院,甘肃兰州730070

出　　处：《纯粹数学与应用数学》2013年第3期255-263,共9页Pure and Applied Mathematics

基　　金：甘肃省自然科学基金(1107RJZA233);甘肃政法学院科研资助青年项目(GZF2013XQNW)

摘　　要：运用Mawhin重合度理论,讨论了一类二阶四点泛函边值问题解的存在性和多解性.分别在非线性项f有界和无界的条件下,获得了此类泛函边值问题解的存在性结果.In this paper, by using Mawhin coincidence degree theorem, of the seconder-order functional differential equations with four-point Under the conditions of boundary and unboundary of the nonlinearity for the above functional boundary value problems are obtained. we study the solvability and multiplicity boundary value problems at resonance f respectively, the existence of solution

关 键 词：泛函边值问题 存在性 CARATHEODORY条件 共振 

分 类 号：O175.8[理学—数学]