摘要
本文研究了二阶积分微分方程的周期边值问题,在反向上下解的条件下,利用Fredholm定理和比较原则得到其极解的存在性。
This paper investigates the existence and approximation of solutions of periodic boundary value problems of second order integro-differential equation. Under the assumption of lower and upper solutions in the reverse order, the results are derived by using the notion of upper and lower solutions and the Fredholm theorem.
出处
《工程数学学报》
CSCD
北大核心
2007年第6期1065-1069,共5页
Chinese Journal of Engineering Mathematics
基金
国家自然科学基金(10671167).
关键词
周期边值问题
Fredholm定理
上下解
periodic boundary value problem
Fredholm theorem
lower and upper solutions
