Banach空间中混合积分微分方程周期边值问题  

Periodic boundary value problem for integro-differential equations of mixed type in Banach spaces

作　　者：王秀荣[1] 宋光兴[1] 

机构地区：[1]中国石油大学数学与计算科学学院,山东东营257061

出　　处：《中国石油大学学报（自然科学版）》2008年第2期159-162,共4页Journal of China University of Petroleum(Edition of Natural Science)

基　　金：中国石油大学(华东)硕士研究生创新基金项目(S0409661)

摘　　要：利用半序方法和单调迭代研究了Banach空间中混合积分微分方程周期问题解的存在性、最大解、最小解与相应的迭代逼近序列。所得结果仅使用了上解或下解单独存在的条件,推广和改进了某些已知结果。The exsitence of soultions of periodic boundary value problem for nonlinear integro-differential equations of mixed type in Banach spaces were studied by using partial order method and the monotone iterative method when only exsitence of one upper solution or one lower solution and some other condtions. And its maximal and minimal solutions were obtained. The results presented extend and improve the recent results.

关 键 词：积分微分方程 上下解 单调迭代方法 半序理论 BANACH空间 

分 类 号：O177.91[理学—数学]