Modulo periodic Poisson stable solutions of dynamic equations on a time scale

Abstract

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 given, 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

• Modulo periodic Poisson stability
• dynamic equations
• impulsive differential equations
• periodic time scale

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