Agarwal, S.; Bahuguna, D. Exact and approximate solutions of delay differential equations with nonlocal history conditions. (English) Zbl 1098.34573 J. Appl. Math. Stochastic Anal. 2005, No. 2, 181-194 (2005). Summary: 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. Cited in 2 Documents MSC: 34K30 Functional-differential equations in abstract spaces 35R10 Partial functional-differential equations PDFBibTeX XMLCite \textit{S. Agarwal} and \textit{D. Bahuguna}, J. Appl. Math. Stochastic Anal. 2005, No. 2, 181--194 (2005; Zbl 1098.34573) Full Text: DOI EuDML