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Stability Analysis of a Nonlinear Difference Equation
Department of Mathematics, Faculty of Education, Erciyes University, Kayseri, Turkey
- 1 Department of Mathematics, Faculty of Education, Erciyes University, Kayseri, Turkey
International Journal of Modern Nonlinear Theory and Application·Volume 02 (2013)·Pages 1–6·Published 13 March 2013·DOI10.4236/ijmnta.2013.21001
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Abstract
The local and global behavior of the positive solutions of the difference equation was investigated, where the parameters α , β and γ and 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.
KeywordsDifference EquationsStability AnalysisSemi-Cycle SolutionsBoundedness
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