Linear impulsive Volterra integro-dynamic system on time scales

Ravi P. Agarwal; Abdul Sami Awan; Donal O'Regan; Awais Younus

doi:10.1186/1687-1847-2014-6

Linear impulsive Volterra integro-dynamic system on time scales

Ravi P. Agarwal, Abdul Sami Awan, Donal O'Regan, Awais Younus

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

18 Citations (Scopus)

Abstract

This paper deals with the asymptotic stability and boundedness of the solution of a time-varying impulsive Volterra integro-dynamic system on time scales in which the coefficient matrix is not necessarily stable. We generalize to a time scale some known properties concerning the asymptotic behavior and boundedness from the continuous case.

Original language	English
Article number	6
Journal	Advances in Difference Equations
Volume	2014
Issue number	1
DOIs	https://doi.org/10.1186/1687-1847-2014-6
Publication status	Published - 1 Jan 2014

Keywords

Asymptotic behavior
Boundedness
Impulsive integro-dynamic system
Time scale

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Agarwal, Ravi P. and Awan, Abdul Sami and O'Regan, Donal and Younus, Awais

Access to Document

10.1186/1687-1847-2014-6

Cite this

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abstract = "This paper deals with the asymptotic stability and boundedness of the solution of a time-varying impulsive Volterra integro-dynamic system on time scales in which the coefficient matrix is not necessarily stable. We generalize to a time scale some known properties concerning the asymptotic behavior and boundedness from the continuous case.",

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AB - This paper deals with the asymptotic stability and boundedness of the solution of a time-varying impulsive Volterra integro-dynamic system on time scales in which the coefficient matrix is not necessarily stable. We generalize to a time scale some known properties concerning the asymptotic behavior and boundedness from the continuous case.

KW - Asymptotic behavior

KW - Boundedness

KW - Impulsive integro-dynamic system

KW - Time scale

UR - https://www.scopus.com/pages/publications/84899523213

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VL - 2014

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Linear impulsive Volterra integro-dynamic system on time scales

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

Access to Document

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