Monotone Iterative Technique for a Class of Semilinear Evolution Equations with Nonlocal Conditions

被引：4
作者：
Pengyu Chen
Yongxiang Li
机构：
[1] Northwest Normal University,Department of Mathematics
来源：
Results in Mathematics | 2013年 / 63卷
关键词：
34K30; 34K45; 47D06; Evolution equation; Nonlocal condition; -semigroup; Monotone iterative technique; Lower and upper solutions; Mild solution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper discusses the existence and uniqueness of mild solutions for a class of semilinear evolution equations with nonlocal conditions in an ordered Banach space E. Under some monotonicity conditions and noncompactness measure conditions of the nonlinearity, a new monotone iterative method on the evolution equations with nonlocal conditions has been established. Particularly, an existence result without using noncompactness measure condition is obtained in ordered and weakly sequentially complete Banach spaces, which is very convenient for application. An example to illustrate our main results is also given.
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页码：731 / 744
页数：13
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