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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)

Citations:

Zbl 0779.92012