摘要
用单调迭代的方法和一些新的比较结果 ,研究了 Banach空间中一类混合型非线性微分 -积分方程的最大最小解 .我们用空间 E的弱完备性和锥 P的正规性 (这时可推出 P是正则的 )来代替紧性条件 .
In this paper, by using of the monotone iterative method and some new comparison results, the existence of maximal and minimal solution for nonlinear integro differential equations of mixed type in Banach spaces are investigated. The main characteristic of our conclusions is that we use weakly sequentially complete condition of space E and P is normal to replace the compactness type condition.
出处
《数学研究》
CSCD
2002年第2期181-186,共6页
Journal of Mathematical Study
关键词
混合型微分-微分方程
单调迭方法
BANACH空间
integro differential equations of mixed type
monotone iterative technique
Banach spaces
