Geodesic
Existence results for impulsive neutral functional integrodifferential equation with infinite delay
Gunasekar, T.1 ; Samuel, F. Paul2 ; Arjunan, M. Mallika3
1 School of Advanced Sciences, Fluid Dynamics Division, VIT University, Vellore-632 014, Tamil Nadu, India
2 Department of Mathematics and Physics, University of Eastern Africa, Baraton, Eldoret 2500--30100, Kenya
3 Department of Mathematics, C. B. M College of Arts and Science, Kovaipudur, Coimbatore-641 042, Tamil Nadu, India
Journal of nonlinear sciences and its applications, Tome 6 (2013) no. 4, p. 234-243.

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

In this paper, we study the existence of mild solutions for a impulsive semilinear neutral functional integrodifferential equations with infinite delay in Banach spaces. The results are obtained by using the Hausdorff measure of noncompactness. Examples are provided to illustrate the theory. Impulsive differential equation, Neutral functional differential equation, Mild solution, Hausdorff measures of noncompactness.
DOI : 10.22436/jnsa.006.04.01
Classification : 34K30, 34K40, 47D03
Keywords: Impulsive differential equation, Neutral functional differential equation, Mild solution, Hausdorff measures of noncompactness.

Gunasekar, T. 1 ; Samuel, F. Paul 2 ; Arjunan, M. Mallika 3

1 School of Advanced Sciences, Fluid Dynamics Division, VIT University, Vellore-632 014, Tamil Nadu, India
2 Department of Mathematics and Physics, University of Eastern Africa, Baraton, Eldoret 2500--30100, Kenya
3 Department of Mathematics, C. B. M College of Arts and Science, Kovaipudur, Coimbatore-641 042, Tamil Nadu, India 
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Gunasekar, T.; Samuel, F. Paul; Arjunan, M. Mallika. Existence results for impulsive neutral functional integrodifferential equation with infinite delay. Journal of nonlinear sciences and its applications, Tome 6 (2013) no. 4, p. 234-243. doi : 10.22436/jnsa.006.04.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.006.04.01/

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