TITLE:
Stability Analysis of a Nonlinear Difference Equation
AUTHORS:
Fatma Bozkurt
KEYWORDS:
Difference Equations; Stability Analysis; Semi-Cycle Solutions; Boundedness
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.2 No.1,
March
13,
2013
ABSTRACT:
The local and global behavior of the positive solutions of the difference equation
was investigated, where the parametersα,βandγand the initial conditions are arbitrary positive numbers. Furthermore, the characterization of the stability was studied with a basin that depends on the conditions of the coefficients. The analysis about the semi-cycle of positive solutions has end the study of this work.