On the attractivity of an integrodifferential system with state-dependent delay
Volume 12, Issue 9, pp 611--620
http://dx.doi.org/10.22436/jnsa.012.09.06
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
MSC
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