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

Shruti Agarwal | Zendy; D. Bahuguna | Zendy

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

Author(s) -

Shruti Agarwal,

D. Bahuguna

Publication year - 2005

Publication title -

international journal of stochastic analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-3340

pISSN - 2090-3332

DOI - 10.1155/jamsa.2005.181

Subject(s) - mathematics , uniqueness , class (philosophy) , delay differential equation , exact solutions in general relativity , differential equation , mathematical analysis , computer science , artificial intelligence

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

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