Local attractivity for integro-differential equations with noncompact semigroups-Reference-Cited by-同舟云学术

Local attractivity for integro-differential equations with noncompact semigroups

Published:2020-01-01 Issue:1 Volume:7 Page:102-117
ISSN:2353-0626
Container-title:Nonautonomous Dynamical Systems
language:en
Short-container-title:

Author:

Diop Amadou¹,Diop Mamadou Abdoul²,Diallo Ouaténi³,Traoré Mariam B⁴

Affiliation:

1. Université Gaston Berger de Saint-Louis , UFR SAT, Département de Mathématiques , B.P. 234, Saint-Louis, Sénégal

2. Université Gaston Berger de Saint-Louis, UFR SAT , Département de Mathématiques , B.P. 234 , Saint-Louis , Sénégal , UMMISCO UMI 209 IRD/UPMC , Bondy , France

3. Université des Sciences, des Techniques et des Technologies de Bamako , Ecole Doctorale des Sciences et Technologies du Mali , B.P. E2528 , Bamako , Mali

4. Université des Sciences , des Techniques et des Technologies de Bamako, Ecole Doctorale des Sciences et Technologies du Mali , B.P. E2528 , Bamako , Mali

Abstract

Abstract In this paper, we are devoted to study the existence and local attractivity of solutions for a class of integro-differential equations.Under the situation that the nonlinear term satisfy Carathéodory conditions and a noncompactness measure condition, we establish some existence and local attractivity of mild solutions by utilizing Mönch fixed point theorem, Kuratowski measure of noncompactness and resolvent operator theory in the sense of Grimmer.Our investigations will be situated in the Banach space of real functions which are defined, continuous, and bounded on the right-hand real half axis 𝕉+. Moreover an example is given to illustrate our outcomes.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Numerical Analysis,Statistics and Probability,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/msds-2020-0113/pdf

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