August 2021 Stability for neutral integro-dynamic equations with multiple functional delays on time scales
Kamel Ali Khelil, Abdelouaheb Ardjouni, Ahcene Djoudi
Tbilisi Math. J. 14(3): 127-140 (August 2021). DOI: 10.32513/tmj/19322008147

Abstract

In this work, we use the Banach fixed point theorem to establish new results on the stability and asymptotic stability of the zero solution for a neutral integro-dynamic equation on time scales. The results obtained here extend those due to Yankson. We end by giving two examples to illustrate our work.

Acknowledgment

The authors would like to thank the anonymous referee for his/her valuable comments and good advice.

Citation

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Kamel Ali Khelil. Abdelouaheb Ardjouni. Ahcene Djoudi. "Stability for neutral integro-dynamic equations with multiple functional delays on time scales." Tbilisi Math. J. 14 (3) 127 - 140, August 2021. https://doi.org/10.32513/tmj/19322008147

Information

Received: 17 March 2021; Accepted: 1 June 2021; Published: August 2021
First available in Project Euclid: 3 September 2021

MathSciNet: MR4307903
zbMATH: 1487.34139
Digital Object Identifier: 10.32513/tmj/19322008147

Subjects:
Primary: 34K20
Secondary: 34N05 , 45D05 , 45J05

Keywords: fixed point Theorem , neutral integro-dynamic equations , stability , Time scales

Rights: Copyright © 2021 Tbilisi Centre for Mathematical Sciences

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Vol.14 • No. 3 • August 2021
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