Existence of periodic solutions for impulsive evolution equations in ordered Banach spaces

被引：0
|
作者：
Huanhuan Zhang
Yongxiang Li
Qiang Li
机构：
[1] Northwest Normal University,Department of Mathematics
[2] Northwest University for Nationalities,School of Mathematics, Computer Science Institute
来源：
Advances in Difference Equations | / 2015卷
关键词：
semilinear impulsive evolution equation; upper and lower solutions; monotone iterative technique; periodic boundary value problems; -semigroup; 35B10; 47H05;
D O I：
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学科分类号：
摘要：
In this paper, we use the perturbation method and the mixed monotone iterative technique to discuss the existence of periodic solutions for impulsive evolution equations in ordered Banach spaces. Under impulsive functions satisfying broader monotone conditions and without assumption that the lower and upper solutions exist, we obtain the existence results of ω-periodic mild solutions. Moreover, an application is given to illustrate our theoretical results.
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