Geodesic
Existence of solutions for quasi-linear impulsive functional integrodifferential equations in Banach spaces
Samuel, Francis Paul1 ; Balachandran, Krishnan2
1 Department of Mathematics and Physics, University of Eastern Africa, Baraton, Eldoret 2500 - 30100, Kenya
2 Department of Mathematics, Bharathiar University, Coimbatore 641046, India
Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 2, p. 115-125.

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

We study the existence of mild solutions for quasilinear impulsive integrodifferential equation in Banach spaces. The results are established by using Hausdorff's measure of noncompactness and fixed point theorem. Application is provided to illustrate the theory.
DOI : 10.22436/jnsa.007.02.05
Classification : 34A37, 34K05, 34K30, 47H10
Keywords: Mild solution, nonlocal conditions, impulsive condition, Hausdorff's measure of noncompactness, fixed point theorem.

Samuel, Francis Paul 1 ; Balachandran, Krishnan 2

1 Department of Mathematics and Physics, University of Eastern Africa, Baraton, Eldoret 2500 - 30100, Kenya
2 Department of Mathematics, Bharathiar University, Coimbatore 641046, India 
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Samuel, Francis Paul; Balachandran, Krishnan. Existence of solutions for quasi-linear impulsive functional integrodifferential equations in Banach spaces. Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 2, p. 115-125. doi : 10.22436/jnsa.007.02.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.007.02.05/

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