INTEGRAL SOLUTIONS TO A CLASS OF NONLOCAL EVOLUTION EQUATIONS

We study the existence of integral solutions to a class of nonlinear evolution equations of the form where A : D(A) ⊆ X → 2X is an m-accretive operator on a Banach space X, and f : [0, T] × X → X and are given functions. We obtain sufficient conditions for this problem to have a unique integral solution.

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