Linear impulsive Volterra integro-dynamic system on time scales

DOI10.1186/1687-1847-2014-6zbMath1417.34212OpenAlexW2135538169WikidataQ59401630 ScholiaQ59401630MaRDI QIDQ1994323

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

Publication date: 1 November 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-6

zbMATH Keywords

asymptotic behaviorboundednesstime scaleimpulsive integro-dynamic system

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Asymptotic properties of solutions to ordinary differential equations (34D05) Volterra integral equations (45D05) Dynamic equations on time scales or measure chains (34N05)

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Cites Work

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• Initial value problem for first-order integro-differential equation of Volterra type on time scales
• Asymptotic behavior of solutions of impulsive integrodifferential systems
• On linear integro-differential equations with integral impulsive conditions
• Extremal solutions of periodic boundary value problems for first-order impulsive integrodifferential equations of mixed-type on time scales
• Perturbation theory for Volterra integrodifferential systems
• PRINCIPAL MATRIX SOLUTIONS AND VARIATION OF PARAMETERS FOR VOLTERRA INTEGRO-DYNAMIC EQUATIONS ON TIME SCALES
• Transition matrix and generalized matrix exponential via the Peano-Baker series
• Function bounds for solutions of Volterra integro dynamic equations on time scales
• Qualitative aspects of Volterra integro-dynamic system on time scales
• Oscillation of integro-dynamic equations on time scales
• The control of boundary value problems for quasilinear impulsive integro-differential equations