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Asymptotically periodic solutions of Volterra system of difference equations

✍ Scribed by Josef Diblík; Ewa Schmeidel; Miroslava Růžičková


Book ID
108077509
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
349 KB
Volume
59
Category
Article
ISSN
0898-1221

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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