Existence of mild solutions for a class of non-autonomous evolution equations with nonlocal initial conditions
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS(2017)
摘要
Using the techniques of measures of noncompactness and Schauder fixed point theorem, we present some existence results for mild solutions of a class of nonlocal evolution equations involving causal operators. Moreover, we obtain the compactness of the set of global mild solutions. An example is given to show the efficiency and usefulness of the results. (C)2017 All rights reserved.
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关键词
Non-autonomous evolution equation,nonlocal condition,evolution semigroups,causal operator,mild solution
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