Stability analysis for $ (\omega, c) $-periodic non-instantaneous impulsive differential equations
Copyright policy )Stability analysis for $ (\omega, c) $-periodic non-instantaneous impulsive differential equations
<abstract><p>In this paper, the stability of $ (\omega, 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 $ (\omega, c) $-periodic solutions of nonlinear noninstantaneous impulsive problems are established. Finally, some examples are given to illustrate the correctness of the conclusion.</p></abstract>
- Guizhou University China (People's Republic of)
- Guizhou Institute of Technology China (People's Republic of)
(ω，c)-periodic solutions, non-instantaneous impulsive differential equations, QA1-939, stability, Mathematics
(ω，c)-periodic solutions, non-instantaneous impulsive differential equations, QA1-939, stability, Mathematics
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