Integral Φ0-Stability of Impulsive Differential Equations

نویسندگان

  • Anju Sood
  • Sanjay K. Srivastava
  • A. Sood
  • S. K. Srivastava
چکیده

In this paper, the notions of integral 0 φ -stability of ordinary impulsive differential equations are introduced. The definition of integral 0 φ -stability depends significantly on the fixed time impulses. Sufficient conditions for integral 0 φ -stability are obtained by using comparison principle and piecewise continuous cone valued Lyapunov functions. A new comparison lemma, connecting the solutions of given impulsive differential system to the solution of a vector valued impulsive differential system is also established.

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تاریخ انتشار 2015