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

Advances in Difference Equations

Huanhuan Zhang¹  Qiang Li²  Yongxiang Li³ 

[1] Department of Mathematics, Northwest Normal University, Lanzhou, People’School of Mathematics, Computer Science Institute, Northwest University for Nationalities, Lanzhou, People’s Republic of China

关键词: semilinear impulsive evolution equation;    upper and lower solutions;    monotone iterative technique;    periodic boundary value problems;    \(C_{0}\)-semigroup;    35B10;    47H05;   

DOI  :  10.1186/s13662-015-0653-x

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY