S-asymptotically ω-periodic solutions for semilinear Volterra equations

✍ Scribed by Claudio Cuevas; Carlos Lizama

• Publisher: John Wiley and Sons
• Year: 2010
• Tongue: English
• Weight: 158 KB
• Volume: 33
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.1284

✦ Synopsis

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 integro-differential equations considered in (Appl.