Journal of Applied Mathematics and Stochastic Analysis
Volume 2005 (2005), Issue 2, Pages 181-194
doi:10.1155/JAMSA.2005.181
Abstract
We study the exact and approximate solutions of a delay
differential equation with various types of nonlocal history
conditions. We establish the existence and uniqueness of mild,
strong, and classical solutions for a class of such problems using
the method of semidiscretization in time. We also establish a
result concerning the global existence of solutions. Finally, we
consider some examples and discuss their exact and approximate
solutions.