The paper is concerned with the existence of almost periodic mild solutions to evolution equations of the form u̇(t)=Au (t)+f(t), where A generates a C- semigroup and f is almost periodic. Using the evolution C-semigroup associated with the equation under consideration, we obtain various sufficient conditions for the existence of almost periodic solutions to (*) which extend previous ones to a more general class of ill-posed equations involving C-semigroups. © 2004 Elsevier Inc. All rights reserved.

Chen J.-C., Van Minh N., Shaw S.-Y.

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