COMPACTNESS OF SOLUTION SEMIFLOWS WITH FINITE DELAY
Abstract
In this paper, we prove the compactness of solutions of semilinear differential equations of the form
under the conditions that the operator T A generates the strongly continuous operators semigruops (T(t)) t≥0 and the nonlinear term satisfying the Lipschitz condition. The main results are based on the method using
norm evaluations and the compactness of the operator in the corresponding Banach space.
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