Exact and approximate solutions of delay differential equations with nonlocal history conditions

S. Agarwal and D. Bahuguna

International Journal of Stochastic Analysis, 2005, vol. 2005, 1-14

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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:204048

DOI: 10.1155/JAMSA.2005.181

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