CONTINUOUS DEPENDENCE OF THE SOLUTIONS OF IMPULSIVE DIFFERENTIAL EQUATIONS ON THE INITIAL CONDITIONS AND BARRIER#br#
CURVES

doi:10.1016/S0252-9602(12)60077-0

Abstract

Abstract:

The basic objects of investigation in this article are nonlinear impulsive dif-ferential equations. The impulsive moments coincide with the moments of meeting of the integral curve and some of the so-called barrier curves. For such type of equations, suf-ficient conditions are found under which the solutions are continuously dependent on the perturbations with respect to the initial conditions and barrier curves. The results are applied to a mathematical model of population dynamics.

Key words: Impulsive differential equations, initial condition, barrier curves, continuous dependence, population dynamics

CLC Number:

34A37

K.G. Dishlieva. CONTINUOUS DEPENDENCE OF THE SOLUTIONS OF IMPULSIVE DIFFERENTIAL EQUATIONS ON THE INITIAL CONDITIONS AND BARRIER[J].Acta mathematica scientia,Series B, 2012, 32(3): 1035-1052.

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CONTINUOUS DEPENDENCE OF THE SOLUTIONS OF IMPULSIVE DIFFERENTIAL EQUATIONS ON THE INITIAL CONDITIONS AND BARRIER

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