Existence and uniqueness of a classical solution to a functional-differential abstract nonlocal Cauchy problem

Ludwik Byszewski

International Journal of Stochastic Analysis, 1999, vol. 12, 1-7

Abstract:

The aim of this paper is to investigate the existence and uniqueness of a classical solution to a functional-differential abstract nonlocal Cauchy problem in a general Banach space. For this purpose, a special kind of a mild solution is introduced and the Banach contraction theorem and a modified Picard method are applied.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:957201

DOI: 10.1155/S1048953399000088

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