Modulo periodic Poisson stable solutions of dynamic equations on a time scale
Dynamical Systems
2022-10-12 v1
Abstract
The existence, uniqueness, and asymptotic stability of modulo periodic Poisson stable solutions of dynamic equations on a periodic time scale are investigated. The model under investigation involves a term which is constructed via a Poisson stable sequence. Novel definitions for Poisson stable as well as modulo periodic Poisson stable functions on time scales are provided, and the reduction technique to systems of impulsive differential equations is utilized to achieve the main result. An example which confirms the theoretical results is provided.
Keywords
Cite
@article{arxiv.2210.04947,
title = {Modulo periodic Poisson stable solutions of dynamic equations on a time scale},
author = {Fatma Tokmak Fen and Mehmet Onur Fen},
journal= {arXiv preprint arXiv:2210.04947},
year = {2022}
}
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15 pages