Articles

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

  • K.G. Dishlieva
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  • Faculty of Applied Mathematics and Informatics, Technical University of Sofia, Sofia, 1756, Bulgaria

Received date: 2010-07-26

  Online published: 2012-05-20

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.

Cite this article

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 . DOI: 10.1016/S0252-9602(12)60077-0

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