Ludwik Byszewski, Haydar Akca, "On a mild solution of a semilinear functional-differential evolution nonlocal problem", International Journal of Stochastic Analysis, vol. 10, Article ID 806158, 7 pages, 1997. https://doi.org/10.1155/S1048953397000336
On a mild solution of a semilinear functional-differential evolution nonlocal problem
The existence, uniqueness, and continuous dependence of a mild solution of a nonlocal Cauchy problem for a semilinear functional-differential evolution equation in a general Banach space are studied. Methods of a semigroup of operators and the Banach contraction theorem are applied. The result obtained herein is a generalization and continuation of those reported in references [2-8].
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