Title of article :
Long-Term Behavior of Solutions of the Non-Linear Difference Equation xn+1 = xn−1xn−3 − 1
Author/Authors :
tasdemir, erkan kırklareli university - pınarhisar vocational school of higher education, Turkey , soykan, yuksel bulent ecevit university - faculty of art and science - department of mathematics, Turkey
Abstract :
In this paper we investigate the dynamics of the non-linear difference equation: xn+1 = xn−1xn−3 − 1, n ∈ N0, where the initial conditions x−3, x−2, x−1 and x0 are real numbers. In particular, we look at the periodicity, boundedness and existence of unbounded solutions.
Keywords :
Difference Equations , Boundedness , Periodicity , Eventually Periodicity , Invariant Interval
Journal title :
General Mathematics Notes
Journal title :
General Mathematics Notes
