Gen-Qiang Wang, Sui Sun Cheng

Periodic Solutions of Higher Order Nonlinear Difference Equations via a Continuation Theorem

Abstract:
Based on a continuation theorem of Mawhin, periodic solutions are found for difference equations of the form
\[\Delta ^{k}y_{n}=f( n,y_{n},y_{n-1},\cdots ,y_{n-l}),\quad n\in Z. \]

Keywords:
Periodic solution, difference equation, continuation theorem.

MSC 2000: 39A11