Existence of solutions for quasi-linear impulsive functional integrodifferential equations in Banach spaces


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.


Share and Cite

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
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


MSC


References