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Multiple Periodic Solutions for Discrete Nicholson's Blowflies Type System
Abstract and Applied Analysis
This paper is concerned with the existence of multiple periodic solutions for discrete Nicholson's blowflies type system. By using the Leggett-Williams fixed point theorem, we obtain the existence of three nonnegative periodic solutions for discrete Nicholson's blowflies type system. In order to show that, we first establish the existence of three nonnegative periodic solutions for then-dimensional functional difference systemyk+1=Akyk+fk, yk-τ, k∈ℤ, whereAkis not assumed to be diagonal as indoi:10.1155/2014/659152 fatcat:ddwipwcmrfb4blisoljritmyuq