Existence of solutions for quasi-linear impulsive functional integrodifferential equations in Banach spaces
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Authors
Francis Paul Samuel
- Department of Mathematics and Physics, University of Eastern Africa, Baraton, Eldoret 2500 - 30100, Kenya.
Krishnan Balachandran
- Department of Mathematics, Bharathiar University, Coimbatore 641046, India.
Abstract
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.
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ISRP Style
Francis Paul Samuel, Krishnan Balachandran, Existence of solutions for quasi-linear impulsive functional integrodifferential equations in Banach spaces, Journal of Nonlinear Sciences and Applications, 7 (2014), no. 2, 115--125
AMA Style
Samuel Francis Paul, Balachandran Krishnan, Existence of solutions for quasi-linear impulsive functional integrodifferential equations in Banach spaces. J. Nonlinear Sci. Appl. (2014); 7(2):115--125
Chicago/Turabian Style
Samuel, Francis Paul, Balachandran, Krishnan. "Existence of solutions for quasi-linear impulsive functional integrodifferential equations in Banach spaces." Journal of Nonlinear Sciences and Applications, 7, no. 2 (2014): 115--125
Keywords
- Mild solution
- nonlocal conditions
- impulsive condition
- Hausdorff's measure of noncompactness
- fixed point theorem.
MSC
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