Geodesic
Kuratowski measure of noncompactness and integro-differential equations in Banach spaces
Traore, Mariam B 1 ; Diallo, Ouateni 1 ; Diop, Mamadou Abdoul 2
1 Des Techniques et des Technologies de Bamako, Ecole Doctorale des Sciences et Technologies du Mali, Universite des Sciences, B.P. E2528, Bamako, Mali
2 Departement de Mathematiques, Universite Gaston Berger de Saint-Louis, UFR SAT, B.P. 234, Saint-Louis, Senegal
Journal of nonlinear sciences and its applications, Tome 14 (2021) no. 2, p. 109-117.

Voir la notice de l'article provenant de la source International Scientific Research Publications

This paper focuses on the existence of mild solutions in Banach space for a first order semi-linear integro-differential equation. The results are achieved with the fixed-point theorem and Kuratowski measure of noncompactness. We conclude this study with an example to illustrate our findings.
DOI : 10.22436/jnsa.014.02.06
Classification : 34G20, 37L05, 47J35, 65J08
Keywords: Integro-differential equation, mild solution, fixed point, Kuratowski measure of noncompactness, resolvent operator

Traore, Mariam B  1 ; Diallo, Ouateni  1 ; Diop, Mamadou Abdoul  2

1 Des Techniques et des Technologies de Bamako, Ecole Doctorale des Sciences et Technologies du Mali, Universite des Sciences, B.P. E2528, Bamako, Mali
2 Departement de Mathematiques, Universite Gaston Berger de Saint-Louis, UFR SAT, B.P. 234, Saint-Louis, Senegal 
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Traore, Mariam B ; Diallo, Ouateni ; Diop, Mamadou Abdoul . Kuratowski measure of noncompactness and   integro-differential equations in Banach spaces. Journal of nonlinear sciences and its applications, Tome 14 (2021) no. 2, p. 109-117. doi : 10.22436/jnsa.014.02.06. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.014.02.06/

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