CONTINUOUS DEPENDENCE OF THE SOLUTIONS OF DIFFERENTIAL EQUATIONS UNDER “SHORT” PERTURBATIONS ON THE RIGHT-HAND SIDE

TitleCONTINUOUS DEPENDENCE OF THE SOLUTIONS OF DIFFERENTIAL EQUATIONS UNDER “SHORT” PERTURBATIONS ON THE RIGHT-HAND SIDE
Publication TypeJournal Article
Year of Publication2006
AuthorsDishliev, AB, Dishlieva, KG
Volume10
Issue2
Start Page149
Pagination12
Date Published2006
ISSN1083-2564
AMS34D10, 92C05
Abstract

In the present paper we introduce the phenomenon “continuous dependence of the solutions of differential equations under “short” perturbations on the right-hand side”, or equivalent simple name of phenomenon “h-continuity”. We obtain some sufficient conditions for h-continuous dependence of solutions of non-linear differential equations. The results are applied to Schmalhausen’s mathematical model for evolution.
URLhttp://www.acadsol.eu/en/articles/10/2/4.pdf
Refereed DesignationRefereed
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REFERENCES
[1] Ph. Hartman, Ordinary Differential Equations, John Wiley and Sons, 1964.