S-asymptotically Ω-periodic Solutions for Semilinear Volterra Equations
نویسندگان
چکیده
We study S-asymptotically ω-periodic mild solutions of the semilinear Volterra equation u′(t) = (a ∗ Au)(t) + f(t, u(t)), considered in a Banach space X, where A is the generator of an (exponentially) stable resolvent family. In particular, we extend recent results for semilinear fractional integro-differential equations considered in [4] and for semilinear Cauchy problems of first order given in [20]. Applications to integral equations arising in vicoelasticity theory are shown.
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