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- W2053202352 abstract "In this paper, we consider the functional differential equation with impulsive perturbations $$ left{ {begin{array}{*{20}{c}} {{x^{prime}}(t) = fleft( {t,{x_t}} right),} hfill & {t geq {t_0},quad t ne {t_k},quad x in {mathbb{R}^n},} hfill {Delta x(t) = {I_k}left( {t,xleft( {{t^{-} }} right)} right),} hfill & {t = {t_k},quad k in {mathbb{Z}^{+} }.} hfill end{array} } right. $$ Criteria on uniform asymptotic stability of sets are established for the above system using Lyapunov functions and the Razumikhin technique. Some examples are also discussed to illustrate the theorems." @default.
- W2053202352 created "2016-06-24" @default.
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- W2053202352 date "2011-08-13" @default.
- W2053202352 modified "2023-10-14" @default.
- W2053202352 title "Stability of sets for impulsive functional differential equations via Razumikhin method" @default.
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- W2053202352 doi "https://doi.org/10.1007/s10958-011-0473-9" @default.
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