期刊论文详细信息
Advances in Difference Equations | |
Existence of periodic solutions for impulsive evolution equations in ordered Banach spaces | |
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
【 预 览 】
Files | Size | Format | View |
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RO201904024032029ZK.pdf | 1656KB | download |