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Tian, Ying; Wang, Jinrong; Zhou, Yong

Almost periodic solutions for a class of non-instantaneous impulsive differential equations. (English) Zbl 1436.34041

Quaest. Math. 42, No. 7, 885-905 (2019).
The almost periodic solutions for nonlinear non-instantaneous impulsive differential equations with variable structure are studied. Some sufficient conditions for existence and uniqueness of asymptotically stable almost periodic solutions of linear and nonlinear non-instantaneous impulsive problems are obtained. The main results are illustrated by an example with numerical simulation.
Reviewer: Snezhana Hristova (Plovdiv)

Cited in 11 Documents

MSC:

34C27 Almost and pseudo-almost periodic solutions to ordinary differential equations
34A37 Ordinary differential equations with impulses
34D20 Stability of solutions to ordinary differential equations

Keywords:

non-instantaneous impulses; almost periodic solutions; existence; asymptotic stability
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References:

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