二阶积分微分方程的周期边值问题  

Periodic Boundary Value Problem of Second Order Integro-differential Equation

作　　者：邹玉梅[1] 崔玉军[1] 

机构地区：[1]山东科技大学信息学院,青岛266510

出　　处：《工程数学学报》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).

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.

关 键 词：周期边值问题 Fredholm定理 上下解 

分 类 号：O175.8[理学—数学] O177.91[理学—基础数学]