Existence results for impulsive neutral functional integrodifferential equation with infinite delay


Authors

T. Gunasekar - School of Advanced Sciences, Fluid Dynamics Division, VIT University, Vellore-632 014, Tamil Nadu, India. F. Paul Samuel - Department of Mathematics and Physics, University of Eastern Africa, Baraton, Eldoret 2500--30100, Kenya. M. Mallika Arjunan - Department of Mathematics, C. B. M College of Arts and Science, Kovaipudur, Coimbatore-641 042, Tamil Nadu, India.


Abstract

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.


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ISRP Style

T. Gunasekar, F. Paul Samuel, M. Mallika Arjunan, Existence results for impulsive neutral functional integrodifferential equation with infinite delay, Journal of Nonlinear Sciences and Applications, 6 (2013), no. 4, 234--243

AMA Style

Gunasekar T., Samuel F. Paul, Arjunan M. Mallika, Existence results for impulsive neutral functional integrodifferential equation with infinite delay. J. Nonlinear Sci. Appl. (2013); 6(4):234--243

Chicago/Turabian Style

Gunasekar, T., Samuel, F. Paul, Arjunan, M. Mallika. "Existence results for impulsive neutral functional integrodifferential equation with infinite delay." Journal of Nonlinear Sciences and Applications, 6, no. 4 (2013): 234--243


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