International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 9-12, Pages 469-478
doi:10.1155/S0161171204203441
Method of semidiscretization in time for quasilinear integrodifferential equations
D. Bahuguna
and Reeta Shukla
Department of Mathematics, Indian Institute of Technology Kanpur, Kanpur 208 016, India
Abstract
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.