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Stability criteria for impulsive Kolmogorov-type systems of nonautonomous differential equations
Ahmad, Shair
Stamova, Ivanka
2012
Abstract
In this paper we consider a class of impulsive Kolmogorov-
type systems. The problems of uniform stability and uniform asymptotic
stability of the solutions are studied. We establish stability criteria
by employing piecewise continuous Lyapunov functions. Examples are
given to demonstrate the effectiveness of the obtained results. We show,
also, that the role of impulses in changing the behavior of impulsive
models is very important.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
44 (2012)
Publisher
EUT Edizioni Università di Trieste
Source
Shair Ahmad, Ivanka Stamova, "Stability criteria for impulsive Kolmogorov-type systems of nonautonomous differential equations", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 44 (2012), pp. 19–32.
Languages
en
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