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

作　　者：I.M.STAMOVA T.G.STAMOV 

机构地区：[1]Department of Mathematics,The University of Texas at San Antonio [2]Department of Engineering Design,Faculty of Mechanical Engineering,Technical University of Sofia

出　　处：《Applied Mathematics and Mechanics(English Edition)》2014年第1期85-96,共12页应用数学和力学（英文版）

摘　　要：Sufficient conditions are investigated for the global stability of the solu tions to models based on nonlinear impulsive differential equations with ＂supremum＂ and variable impulsive perturbations. The main tools are the Lyapunov functions and Razu mikhin technique. Two illustrative examples are given to demonstrate the effectiveness of the obtained results.Sufficient conditions are investigated for the global stability of the solu tions to models based on nonlinear impulsive differential equations with ＂supremum＂ and variable impulsive perturbations. The main tools are the Lyapunov functions and Razu mikhin technique. Two illustrative examples are given to demonstrate the effectiveness of the obtained results.

关 键 词：global stability Lyapunov-Razumikhin function nonlinear impulsive dif-ferential equation with ＂supremum＂ variable impulsive perturbation 

分 类 号：O175.13[理学—数学]