S-asymptotically -periodic solutions of semilinear fractional integro-differential equations
✍ Scribed by Claudio Cuevas; Julio César de Souza
- Book ID
- 108052438
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 490 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0893-9659
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📜 SIMILAR VOLUMES
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
## Abstract Using a degree‐theoretic result of Granas, a homotopy is constructed enabling us to show that if there is an __a priori__ bound on all possible __T__‐periodic solutions of a Volterra equation, then there is a __T__‐periodic solution. The __a priori__ bound is established by means of a L