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

Bete, Kora Hafiz ¹ ; Ogouyandjou, Carlos ¹ ; Diop, Amadou ² ; Diop, Mamadou Abdoul ²

¹ Universite d'Abomey-Calavi, Institut de Mathematiques et de Sciences Physiques, 01 B.P. 613, Porto-Novo, Benin
² Universite Gaston Berger de Saint-Louis, UFR SAT, Departement de Mathematiques, B.P. 234, Saint-Louis, Senegal

Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 9, p. 611-620.

Résumé

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.

Détail

DOI : 10.22436/jnsa.012.09.06

Classification : 34G20, 34K10, 34K30
Keywords: Neutral functional integrodifferential equations, resolvent operator, mild solution, local attractivity, fixed point theory, infinite delay

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