Stability criteria for nonlinear volterra integro-dynamic systems

Awais Younus; Donal O'Regan; Nusrat Yasmin; Safia Mirza

doi:10.18576/amis/110530

Stability criteria for nonlinear volterra integro-dynamic systems

Awais Younus
, Donal O'Regan
, Nusrat Yasmin
, Safia Mirza

Mathematics

Bahauddin Zakariya University

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

14 Citations (Scopus)

Abstract

We study conditions under which the solutions of nonlinear Volterra integro-dynamic system of the form are stable on certain time scales. We give sufficient and necessary conditions for various types of stability, including uniform stability, asymptotic stability, exponential asymptotic stability and strong stability.

Original language	English
Pages (from-to)	1509-1517
Number of pages	9
Journal	Applied Mathematics and Information Sciences
Volume	11
Issue number	5
DOIs	https://doi.org/10.18576/amis/110530
Publication status	Published - 1 Sept 2017

Keywords

Nonlinear Volterra integro-dynamic
Stability
Time scale

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10.18576/amis/110530

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title = "Stability criteria for nonlinear volterra integro-dynamic systems",

abstract = "We study conditions under which the solutions of nonlinear Volterra integro-dynamic system of the form are stable on certain time scales. We give sufficient and necessary conditions for various types of stability, including uniform stability, asymptotic stability, exponential asymptotic stability and strong stability.",

keywords = "Nonlinear Volterra integro-dynamic, Stability, Time scale",

author = "Awais Younus and Donal O'Regan and Nusrat Yasmin and Safia Mirza",

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AU - Younus, Awais

AU - O'Regan, Donal

AU - Yasmin, Nusrat

AU - Mirza, Safia

PY - 2017/9/1

Y1 - 2017/9/1

N2 - We study conditions under which the solutions of nonlinear Volterra integro-dynamic system of the form are stable on certain time scales. We give sufficient and necessary conditions for various types of stability, including uniform stability, asymptotic stability, exponential asymptotic stability and strong stability.

AB - We study conditions under which the solutions of nonlinear Volterra integro-dynamic system of the form are stable on certain time scales. We give sufficient and necessary conditions for various types of stability, including uniform stability, asymptotic stability, exponential asymptotic stability and strong stability.

KW - Nonlinear Volterra integro-dynamic

KW - Stability

KW - Time scale

UR - https://www.scopus.com/pages/publications/85044405859

U2 - 10.18576/amis/110530

DO - 10.18576/amis/110530

M3 - Article

AN - SCOPUS:85044405859

SN - 1935-0090

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JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

IS - 5

ER -

Stability criteria for nonlinear volterra integro-dynamic systems

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Keywords

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