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

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• 作者：I. M. Stamova (1)
  T. G. Stamov (2)
  
• 关键词：global stability ; Lyapunov ; Razumikhin function ; nonlinear impulsive differential equation with “supremum-/li> variable impulsive perturbation ; O175.14 ; O175.7 ; 34A37 ; 34K20 ; 34K45
• 刊名：Applied Mathematics and Mechanics
• 出版年：2014
• 出版时间：January 2014
• 年：2014
• 卷：35
• 期：1
• 页码：85-96
• 全文大小：192 KB
• 作者单位：I. M. Stamova (1)
  T. G. Stamov (2)
  
  1. Department of Mathematics, The University of Texas at San Antonio, San Antonio, TX, 78249, USA
  2. Department of Engineering Design, Faculty of Mechanical Engineering, Technical University of Sofia, Sofia, 1000, Bulgaria
  
• ISSN：1573-2754

文摘

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.