Stability criteria for nonlinear Volterra integro-dynamic matrix Sylvester systems on measure chains

Abstract In this paper, we establish sufficient conditions for various stability aspects of a nonlinear Volterra integro-dynamic matrix Sylvester system on time scales. We convert the nonlinear Volterra integro-dynamic matrix Sylvester system on time scale to an equivalent nonlinear Volterra integro...

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Auteurs principaux:	Sreenivasulu Ayyalappagari, Venkata Appa Rao Bhogapurapu
Format:	article
Langue:	EN
Publié:	SpringerOpen 2021
Sujets:	Nonlinear Volterra integro-dynamic Stability Timescales Mathematics QA1-939
Accès en ligne:	https://doaj.org/article/4799013197db45d3b2442f772b55dcc4
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spelling	oai:doaj.org-article:4799013197db45d3b2442f772b55dcc42021-12-05T12:07:09ZStability criteria for nonlinear Volterra integro-dynamic matrix Sylvester systems on measure chains10.1186/s13662-021-03665-61687-1847https://doaj.org/article/4799013197db45d3b2442f772b55dcc42021-12-01T00:00:00Zhttps://doi.org/10.1186/s13662-021-03665-6https://doaj.org/toc/1687-1847Abstract In this paper, we establish sufficient conditions for various stability aspects of a nonlinear Volterra integro-dynamic matrix Sylvester system on time scales. We convert the nonlinear Volterra integro-dynamic matrix Sylvester system on time scale to an equivalent nonlinear Volterra integro-dynamic system on time scale using vectorization operator. Sufficient conditions are obtained to this system for stability, asymptotic stability, exponential stability, and strong stability. The obtained results include various stability aspects of the matrix Sylvester systems in continuous and discrete models.Sreenivasulu AyyalappagariVenkata Appa Rao BhogapurapuSpringerOpenarticleNonlinear Volterra integro-dynamicStabilityTimescalesMathematicsQA1-939ENAdvances in Difference Equations, Vol 2021, Iss 1, Pp 1-17 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Nonlinear Volterra integro-dynamic Stability Timescales Mathematics QA1-939
spellingShingle	Nonlinear Volterra integro-dynamic Stability Timescales Mathematics QA1-939 Sreenivasulu Ayyalappagari Venkata Appa Rao Bhogapurapu Stability criteria for nonlinear Volterra integro-dynamic matrix Sylvester systems on measure chains
description	Abstract In this paper, we establish sufficient conditions for various stability aspects of a nonlinear Volterra integro-dynamic matrix Sylvester system on time scales. We convert the nonlinear Volterra integro-dynamic matrix Sylvester system on time scale to an equivalent nonlinear Volterra integro-dynamic system on time scale using vectorization operator. Sufficient conditions are obtained to this system for stability, asymptotic stability, exponential stability, and strong stability. The obtained results include various stability aspects of the matrix Sylvester systems in continuous and discrete models.
format	article
author	Sreenivasulu Ayyalappagari Venkata Appa Rao Bhogapurapu
author_facet	Sreenivasulu Ayyalappagari Venkata Appa Rao Bhogapurapu
author_sort	Sreenivasulu Ayyalappagari
title	Stability criteria for nonlinear Volterra integro-dynamic matrix Sylvester systems on measure chains
title_short	Stability criteria for nonlinear Volterra integro-dynamic matrix Sylvester systems on measure chains
title_full	Stability criteria for nonlinear Volterra integro-dynamic matrix Sylvester systems on measure chains
title_fullStr	Stability criteria for nonlinear Volterra integro-dynamic matrix Sylvester systems on measure chains
title_full_unstemmed	Stability criteria for nonlinear Volterra integro-dynamic matrix Sylvester systems on measure chains
title_sort	stability criteria for nonlinear volterra integro-dynamic matrix sylvester systems on measure chains
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/4799013197db45d3b2442f772b55dcc4
work_keys_str_mv	AT sreenivasuluayyalappagari stabilitycriteriafornonlinearvolterraintegrodynamicmatrixsylvestersystemsonmeasurechains AT venkataapparaobhogapurapu stabilitycriteriafornonlinearvolterraintegrodynamicmatrixsylvestersystemsonmeasurechains
_version_	1718372249806831616

Stability criteria for nonlinear Volterra integro-dynamic matrix Sylvester systems on measure chains

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