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.
出处
《中国石油大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
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)
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
integro-differential equation
upper and lower solution
monotone iterative technique
partial order theory
Banach space
