zbMATH — the first resource for mathematics

An existence theorem for Volterra integrodifferential equations with infinite delay. (English) Zbl 1019.45005
An existence theorem for Volterra integro-differential equations with infinite delay is established with the help of Schauder’s fixed point theorem. This result is applied to an $$n$$-species Lotka-Volterra competitive system.
MSC:
 45K05 Integro-partial differential equations 45G10 Other nonlinear integral equations 92D25 Population dynamics (general)
Full Text: