Periodic and almost-periodic solutions for some delay integral equations in a Hilbert space. (English) Zbl 0978.45004
Summary: We give some sufficient conditions for the existence of periodic and almost-periodic solutions for some delay integral equations. We finally apply those results to study a dynamical population model considered by O. Arino, M. Kimmel, and M. Zerner [Lect. Notes Pure Appl. Math. 131, 3-12 (1991; Zbl 0779.92012)].
MSC:
45N05 | Abstract integral equations, integral equations in abstract spaces |
45G10 | Other nonlinear integral equations |
45M15 | Periodic solutions of integral equations |
92D25 | Population dynamics (general) |