Inequalities and sufficient conditions for exponential stability and instability for nonlinear Volterra difference equations with variable delay

Abstract Inequalities and sufficient conditions that lead to exponential stability of the zero solution of the variable delay nonlinear Volterra difference equation are obtained. Lyapunov functionals are constructed and employed in obtaining the main results. A criterion for the instability of th...

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Autor principal:	Yankson,Ernest
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2021
Materias:	Exponential stability Lyapunov functional Instability.
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000100109
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spelling	oai:scielo:S0719-064620210001001092021-05-11Inequalities and sufficient conditions for exponential stability and instability for nonlinear Volterra difference equations with variable delayYankson,Ernest Exponential stability Lyapunov functional Instability. Abstract Inequalities and sufficient conditions that lead to exponential stability of the zero solution of the variable delay nonlinear Volterra difference equation are obtained. Lyapunov functionals are constructed and employed in obtaining the main results. A criterion for the instability of the zero solution is also provided. The results generalizes some results in the literature.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.23 n.1 20212021-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000100109en10.4067/S0719-06462021000100109
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Exponential stability Lyapunov functional Instability.
spellingShingle	Exponential stability Lyapunov functional Instability. Yankson,Ernest Inequalities and sufficient conditions for exponential stability and instability for nonlinear Volterra difference equations with variable delay
description	Abstract Inequalities and sufficient conditions that lead to exponential stability of the zero solution of the variable delay nonlinear Volterra difference equation are obtained. Lyapunov functionals are constructed and employed in obtaining the main results. A criterion for the instability of the zero solution is also provided. The results generalizes some results in the literature.
author	Yankson,Ernest
author_facet	Yankson,Ernest
author_sort	Yankson,Ernest
title	Inequalities and sufficient conditions for exponential stability and instability for nonlinear Volterra difference equations with variable delay
title_short	Inequalities and sufficient conditions for exponential stability and instability for nonlinear Volterra difference equations with variable delay
title_full	Inequalities and sufficient conditions for exponential stability and instability for nonlinear Volterra difference equations with variable delay
title_fullStr	Inequalities and sufficient conditions for exponential stability and instability for nonlinear Volterra difference equations with variable delay
title_full_unstemmed	Inequalities and sufficient conditions for exponential stability and instability for nonlinear Volterra difference equations with variable delay
title_sort	inequalities and sufficient conditions for exponential stability and instability for nonlinear volterra difference equations with variable delay
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2021
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000100109
work_keys_str_mv	AT yanksonernest inequalitiesandsufficientconditionsforexponentialstabilityandinstabilityfornonlinearvolterradifferenceequationswithvariabledelay
_version_	1714206809808437248

Inequalities and sufficient conditions for exponential stability and instability for nonlinear Volterra difference equations with variable delay

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