Two classes of piecewise-linear difference equations with a periodic parameter and eventual periodicity

Abstract

In this paper, we will study two classes of difference equations which are piecewise-linear with a periodic parameter. We will show that, all non-trivial solutions of both equations are eventually periodic and show their periods.

Keywords:

• asymptotic behavior
• periodic solutions
• non-trivial solutions
• piecewise-linear difference equation

Keywords:

• 39A12