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- Title
EXISTENCE OF PERIODIC SOLUTIONS OF DYNAMIC EQUATIONS ON TIME SCALES BY AVERAGING.
- Authors
RUICHAO GUO; YONG LI; JIAMIN XING; XUE YANG
- Abstract
In this paper, we study the existence of periodic solutions for perturbed dynamic equations on time scales. Our approach is based on the averaging method. Further, we extend some averaging theorem to periodic solutions of dynamic equations on time scales to k-th order in e. More precisely, results of higher order averaging for finding periodic solutions are given via the topological degree theory.
- Subjects
AVERAGING method (Differential equations); TOPOLOGICAL degree; DYNAMICAL systems; PERTURBATION theory; K-theory
- Publication
Discrete & Continuous Dynamical Systems - Series S, 2017, Vol 10, Issue 5, p959
- ISSN
1937-1632
- Publication type
Article
- DOI
10.3934/dcdss.2017050