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Hristova, S.G. and Russinov, I. (2009) Stability in Terms of Two Measures for Initial Time Differences for Differential Equations by Perturbing Lyapunov Functions. International Journal of Pure and Applied Mathematics, 51, 19-32.

has been cited by the following article:

• TITLE: Integral Φ0-Stability of Impulsive Differential Equations

  AUTHORS: Anju Sood, Sanjay K. Srivastava

  KEYWORDS: Integral Φ0 -Stability, Cone Valued Lyapunov Functions, Impulsive Differential Equations, Fixed Time Impulses

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.5 No.10, October 30, 2015

  ABSTRACT: In this paper, the notions of integral Φ0-stability of ordinary impulsive differential equations are introduced. The definition of integral Φ0-stability depends significantly on the fixed time impulses. Sufficient conditions for integral Φ0-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.