摘要
研究了二阶微分方程组的耦合积分边值问题.在一对上-下解和下-上解的条件下,利用一个新的比较原则和Fredholm定理给出了其极解的存在性.
This paper investigates the existence of solutions of couple integral boundary value problems of second order differential equations.Under the assumption of lower-upper solutions and upper-lower solutions,the results are derived by using the new comparison principle and the Fredholm theorem.
出处
《应用泛函分析学报》
CSCD
2013年第2期125-130,共6页
Acta Analysis Functionalis Applicata
基金
国家自然科学基金(10971179
11071141
61201431)
山东省优秀中青年科学家科研奖励基金(BS2010SF023)
关键词
耦合积分边值问题
极解
上-下解
下-上解
couple integral boundary value problem
extremal solutions
lower-upper solution
upper-lower solution