Numerical Approximations of Impulsive Delay Differential Equations

Din, Qamar; Donchev, Tzanko; Kolev, D.

doi:10.1080/01630563.2012.738271

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Cited by 3 publications

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“…Note here that by the same method one could show stability for impulsive FDEs, also it is applicable for problems with inclusions, [2,5,6,8] as well as fuzzy FDEs, [9]. Similar methods can be used for FDEs with "maxima" and delay in the cases considered in [3,13,14].…”

Section: Discussionmentioning

confidence: 91%

A Criterion to Uniform Stability for Functional Perturbed Differential Equations

Ahmad¹,

Haider²,

Javad³

et al. 2016

Int. J. of Pure and Appl. Math.

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In this paper we consider a class of non autonomous ODEs with a functional perturbation. For the unperturbed equation a Lyapunov function bounded by two quadratic forms is known. The Lipschitzean rate of the vector field along with some additional requirements to the derivatives of the Lyapunov function guarantee existence of uniform stable solutions. A sufficient condition that guarantees uniform stability of the zero-solution to the equation under consideration is discussed.

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