International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 9, Pages 469-478
Method of semidiscretization in time for quasilinearintegrodifferential equations
Department of Mathematics, Indian Institute of Technology Kanpur, Kanpur 208 016, India
Received 1 March 2001
Copyright © 2004 D. Bahuguna and Reeta Shukla. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We consider a class of quasilinear integrodifferential equations
in a reflexive Banach space. We apply the method of
semidiscretization in time to establish the existence, uniqueness,
and continuous dependence on the initial data of strong solutions.