Asymptotic formulae for solutions to impulsive differential equations with piecewise constant argument of generalized type

Date

2019-03-12

Authors

Castillo, Samuel
Pinto, Manuel
Torres, Ricardo

Journal Title

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Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article we give some asymptotic formulae for impulsive differential system with piecewise constant argument of generalized type (abbreviated IDEPCAG). These formulae are based on certain integrability conditions, by means of a Gronwall-Bellman type inequality and the Banach's fixed point theorem. Also, we study the existence of an asymptotic equilibrium of nonlinear and semilinear IDEPCAG systems. We present examples that illustrate our the results.

Description

Keywords

Piecewise constant arguments, Stability of solutions, Gronwall's inequality, Asymptotic equivalence, Impulsive differential equations

Citation

Castillo, S., Pinto, M., & Torres, R. (2019). Asymptotic formulae for solutions to impulsive differential equations with piecewise constant argument of generalized type. <i>Electronic Journal of Differential Equations, 2019</i>(40), pp. 1-22.

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Attribution 4.0 International

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