The Generalized Solutions of One Order Periodic Boundary Value Problems in Banach Space

被引：0

作者：

Ji Jin YI

机构：

来源：

Journal of Mathematical Research with Applications | 2010年 / 02期

关键词：

monotone iterative; partial ordering; generalized solutions; normal cone;

D O I：

暂无

中图分类号：

O175.15 [抽象空间常微分方程];

学科分类号：

070104 ;

摘要：

In this paper, the authors study the periodic boundary value problems of a class of nonlinear integro-differential equations of mixed type in Banach space with Carath′eodory’s conditions. We arrive at the conclusion of the existence of generalized solutions between general- ized upper and lower solutions, and develop the monotone iterative technique to find generalized extremal solutions as limits of monotone solution sequences in Banach space.

引用

页码：345 / 355

页数：11

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