On solutions of semilinear evolution integrodifferential equations with nonlocal conditions
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Abstract
In this paper, by using the theory of evolution families, Banach's contraction principle and Schauder's fixed point theorem, we prove the existence of mild solutions of a class of semilinear evolution integrodifferential equations with nonlocal conditions in Banach space. An example is provided to illustrate the obtained results.
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Yan, Z. (2009). On solutions of semilinear evolution integrodifferential equations with nonlocal conditions. Tamkang Journal of Mathematics, 40(3), 257–269. https://doi.org/10.5556/j.tkjm.40.2009.505
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