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Stability of the solutions of impulsive functional-differential equations by Lyapunov's direct method
Published online by Cambridge University Press: 17 February 2009
Abstract
We consider the stability of the zero solution of a system of impulsive functional-differential equations. By means of piecewise continuous functions, which are generalizations of classical Lyapunov functions, and using a technique due to Razumikhin, sufficient conditions are found for stability, uniform stability and asymptotical stability of the zero solution of these equations. Applications to impulsive population dynamics are also discussed.
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- Copyright © Australian Mathematical Society 2001
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