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On solutions of neutral nonlocal evolution equations with nondense domain
Authors:Xianlong Fu
Affiliation:Department of Mathematics, East China Normal University, Shanghai, 200062, PR China
Abstract:In this paper, with Sadovskii's and Banach's fixed point theorems applied, we establish some results on the existence of integral solutions, strong solutions, and strict solutions for a class of nondensely defined neutral evolution equations with nonlocal conditions. Also, an example is given in the end to show the applications of the obtained results.
Keywords:Existence of solutions   Nonlocal Cauchy problem   Hille-Yosida condition   Integrated semigroups
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