\(S\)-asymptotically \(\omega\)-periodic solutions of abstract partial neutral integro-differential equations. (English) Zbl 1241.47038
The authors study the uniqueness and the existence of S-asymptotically \(\omega\)-periodic mild solutions to an abstract partial neutral integro-differential equation with unbounded delay. In the last section of the paper, the authors study a concrete partial neutral integro-differential equation with unbounded delay and give sufficient conditions for the existence of a solution.
Reviewer: Vincenzo Vespri (Firenze)
MSC:
| 47D06 | One-parameter semigroups and linear evolution equations |
| 35R15 | PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) |
| 34G10 | Linear differential equations in abstract spaces |
