Asymptotic Behavior of Solutions of Impulsive Delay Differential Equations

Asymptotic Stability of a Class of Impulsive Delay Differential Equations

This paper is concerned with a class of linear impulsive delay differential equations. Asymptotic stability of analytic solutions of this kind of equations is studied by the property of delay differential equations without impulsive perturbations. New numerical methods for this kind of equations are constructed. The convergence and asymptotic stability of the methods for this kind of equations ...

Impulsive Differential Equations: Asymptotic Properties of the Solutions

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Asymptotic behavior of impulsive neutral delay differential equations with positive and negative coefficients of Euler form

Asymptotic Behavior of Solutions of Nonlinear Neutral Delay Forced Impulsive Differential Equations with Positive and Negative Coefficients

Sufficient conditions are obtained for every solution of first order nonlinear neutral delay forced impulsive differential equations with positive and negative coefficients tends to a constant as t ∞.

Asymptotic behavior of linear impulsive integro-differential equations

Asymptotic equilibria of linear integro-differential equations and asymptotic relations between solutions of linear homogeneous impulsive differential equations and those of linear integro-differential equations are established. A new Gronwall–Bellman type lemma for integro-differential inequalities is proved. An example is given to demonstrate the validity of one of the results. c © 2008 Elsev...