Existence of Mild Solutions for a Semilinear Integrodifferential Equation with Nonlocal Initial Conditions

Carlos Lizama and Juan C. Pozo

Abstract and Applied Analysis, 2012, vol. 2012, 1-15

Abstract:

Using Hausdorff measure of noncompactness and a fixed-point argument we prove the existence of mild solutions for the semilinear integrodifferential equation subject to nonlocal initial conditions , , , where , and for every the maps are linear closed operators defined in a Banach space . We assume further that for every , and the functions and are -valued functions which satisfy appropriate conditions.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:647103

DOI: 10.1155/2012/647103

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