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Stability analysis for ( ω , c )-periodic non-instantaneous impulsive differential equations
AIMS Mathematics 2022, 7(2): 1758-1774
Published: 15 February 2022
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In this paper, the stability of ( ω , c )-periodic solutions of non-instantaneous impulses differential equations is studied. The exponential stability of homogeneous linear non-instantaneous impulsive problems is studied by using Cauchy matrix, and some sufficient conditions for exponential stability are obtained. Further, by using Gronwall inequality, sufficient conditions for exponential stability of ( ω , c )-periodic solutions of nonlinear noninstantaneous impulsive problems are established. Finally, some examples are given to illustrate the correctness of the conclusion.

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