Global stability of the solutions of impulsive differential‐difference equations with variable impulsive perturbations

• D.D. Bainov ^[1] ; I.M. Stamova ^[1]
  1. [1] Medical University of Sofia

     Medical University of Sofia

     Bulgaria

     
• Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 16, Nº 1, 1997, págs. 3-16
• Idioma: inglés
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• Resumen

  • Investigates the global stability of the zero solution of an impulsive system of differential‐difference equations with variable impulsive perturbations. By means of piecewise continuous functions which are analogues of Lyapunov’s functions, and of the comparison principle, sufficient conditions for global stability of the zero solution of the systems considered are found.