Positive periodic solutions of functional discrete systems with a parameter

Youssef N.  Raffoul; Ernest  Yankson

doi:10.4067/S0719-06462019000100079

DOI:

https://doi.org/10.4067/S0719-06462019000100079

Abstract

The existence of multiple positive periodic solutions of the system of difference equations with a parameter

x(n + 1) = A(n, x(n))x(n) + Î»f(n, x_n),

is studied. In particular, we use the eigenvalue problems of completely continuous operators to obtain our results. We apply our results to a well-known model in population dynamics.

Keywords

Functional difference system , Positive periodic solution , Eigenvalue , Population model

Youssef N. Raffoul Department of Mathematics, University of Dayton, Dayton, OH 45469-2316, USA.
Ernest Yankson Department of Mathematics and Statistics, University of Cape Coast, Cape Coast, Ghana.

Pages: 79–90
Date Published: 2019-04-01
Vol. 21 No. 1 (2019)

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