Impulsive effects on global stability of models based on impulsive differential equations with “supremum” and variable impulsive perturbations

doi:10.1007/s10483-014-1774-6

Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (1): 85-96.doi: https://doi.org/10.1007/s10483-014-1774-6

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Impulsive effects on global stability of models based on impulsive differential equations with “supremum” and variable impulsive perturbations

I. M. STAMOVA¹, T.G.STAMOV²

1. Department of Mathematics, The University of Texas at San Antonio, San Antonio, TX 78249, U. S.A.;
2. Department of Engineering Design, Faculty of Mechanical Engineering, Technical University of Sofia, Sofia 1000, Bulgaria

Received:2012-09-09 Revised:2013-07-30 Online:2014-01-20 Published:2013-12-27

Abstract

Abstract: Sufficient conditions are investigated for the global stability of the solutions to models based on nonlinear impulsive differential equations with “supremum” and variable impulsive perturbations. The main tools are the Lyapunov functions and Razumikhin technique. Two illustrative examples are given to demonstrate the effectiveness of the obtained results.

Key words: global stability, Lyapunov-Razumikhin function, nonlinear impulsive differential equation with “supremum”, null, variable impulsive perturbation

2010 MSC Number:

I. M. STAMOVA; T.G.STAMOV. Impulsive effects on global stability of models based on impulsive differential equations with “supremum” and variable impulsive perturbations. Applied Mathematics and Mechanics (English Edition), 2014, 35(1): 85-96.

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Impulsive effects on global stability of models based on impulsive differential equations with “supremum” and variable impulsive perturbations

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