Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 55, pp. 1-8.
Title: Positive periodic solutions of nonlinear functional difference equations
Author: Youssef N. Raffoul (Univ. of Dayton, Dayton, OH, USA)
Abstract:
In this paper, we apply a cone theoretic fixed point theorem
to obtain sufficient conditions for the existence
of multiple positive periodic solutions to the nonlinear
functional difference equations
$$
x(n+1)=a(n)x(n)\pm \lambda h(n) f(x(n-\tau(n))).
$$
Submitted December 22, 2001. Published June 13, 2002.
Math Subject Classifications: 39A10, 39A12.
Key Words: Cone theory; positive; periodic; functional difference equations.