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Periodic solutions in n dimensions and Volterra equations

✍ Scribed by Jane Cronin

Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
787 KB
Volume
19
Category
Article
ISSN
0022-0396

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We study S-asymptotically x-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 the recent results for semilinear fractional integ