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Existence, uniqueness, and regularity of solutions to semilinear retarded differential equations

D. Bahuguna

International Journal of Stochastic Analysis, 2004, vol. 2004, 1-7

Abstract:

In the present work, we consider a semilinear retarded differential equation in a Banach space. We first establish the existence and uniqueness of a mild solution and then prove its regularity under different additional conditions. Finally, we consider some applications of the abstract results.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:608946

DOI: 10.1155/S1048953304310026

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