On the attractivity of an integrodifferential system with state-dependent delay

Volume 12, Issue 9, pp 611--620
Publication Date: May 24, 2019 Submission Date: November 18, 2018 Revision Date: February 22, 2019 Accteptance Date: April 04, 2019
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Authors

Kora Hafiz Bete - Universite d'Abomey-Calavi, Institut de Mathematiques et de Sciences Physiques, 01 B.P. 613, Porto-Novo, Benin. Carlos Ogouyandjou - Universite d'Abomey-Calavi, Institut de Mathematiques et de Sciences Physiques, 01 B.P. 613, Porto-Novo, Benin. Amadou Diop - Universite Gaston Berger de Saint-Louis, UFR SAT, Departement de Mathematiques, B.P. 234, Saint-Louis, Senegal. Mamadou Abdoul Diop - Universite Gaston Berger de Saint-Louis, UFR SAT, Departement de Mathematiques, B.P. 234, Saint-Louis, Senegal.

Abstract

This work is focused on the existence and attractivity of mild solutions for an integrodifferential system with state-dependent delay. The results presented here were established by means of a fixed point theorem due to [T. A. Burton, C. Kirk, Math. Nachr., $\bf189$ (1998), 23--31]. At the end, the obtained results are illustrated by an example.

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ISRP Style

Kora Hafiz Bete, Carlos Ogouyandjou, Amadou Diop, Mamadou Abdoul Diop, On the attractivity of an integrodifferential system with state-dependent delay, Journal of Nonlinear Sciences and Applications, 12 (2019), no. 9, 611--620

AMA Style

Bete Kora Hafiz, Ogouyandjou Carlos, Diop Amadou, Diop Mamadou Abdoul, On the attractivity of an integrodifferential system with state-dependent delay. J. Nonlinear Sci. Appl. (2019); 12(9):611--620

Chicago/Turabian Style

Bete, Kora Hafiz, Ogouyandjou, Carlos, Diop, Amadou, Diop, Mamadou Abdoul. "On the attractivity of an integrodifferential system with state-dependent delay." Journal of Nonlinear Sciences and Applications, 12, no. 9 (2019): 611--620

Keywords

• Neutral functional integrodifferential equations
• resolvent operator
• mild solution
• local attractivity
• fixed point theory
• infinite delay

•  34G20
•  34K10
•  34K30

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