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Journal of Applied Mathematics and Computing

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07.12.2015 | Original Research

Stability by Lyapunov like functions of nonlinear differential equations with non-instantaneous impulses

verfasst von: Ravi Agarwal, D. O’Regan, S. Hristova

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2017

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Abstract

The stability of the solutions of a nonlinear differential equation with noninstantaneous impulses is studied using Lyapunov like functions. In these differential equation we have impulses, which start abruptly at some points and their action continue on given finite intervals. Sufficient conditions for stability, uniform stability and asymptotic uniform stability of the solutions are established. Examples are given to illustrate the results. Also, some of the results are applied to study a dynamical model in Pharmacokinetics.

Vorheriger Artikel Existence of solutions for fractional differential equations with nonlocal and average type integral boundary conditions

Nächster Artikel Convergence rates of a family of barycentric osculatory rational interpolation

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Titel: Stability by Lyapunov like functions of nonlinear differential equations with non-instantaneous impulses
verfasst von: Ravi Agarwal
D. O’Regan
S. Hristova
Publikationsdatum: 07.12.2015
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2017
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-015-0961-z

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