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2 results

  • STABILITY ANALYSIS IN TERMS OF TWO MEASURES FOR IMPULSIVE DIFFERENTIAL EQUATIONS

  • CHUNHAI KOU, SHUNIAN ZHANG, SHUJIN WU
  • Journal:
    Journal of the London Mathematical Society / Volume 66 / Issue 1 / August 2002
    Published online by Cambridge University Press:
    24 March 2003, pp. 142-152
    Print publication:
    August 2002

  • Through the use of the so-called variational Lyapunov method, which is developed by combining the method of variation of parameters and the Lyapunov second method, stability and instability properties in terms of two measures for impulsive differential equations with variable moments of impulsive effects are discussed. Some stability and instability criteria are established. These theorems, together with an example, show that perturbation and impulsive effects may make a stable system uniformly asymptotically stable or unstable. These results significantly generalize the known ones.