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Stability Analysis of a Nonlinear Difference Equation

DOI: 10.4236/ijmnta.2013.21001    3,580 Downloads   6,773 Views   Citations
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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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

F. Bozkurt, "Stability Analysis of a Nonlinear Difference Equation," International Journal of Modern Nonlinear Theory and Application, Vol. 2 No. 1, 2013, pp. 1-6. doi: 10.4236/ijmnta.2013.21001.

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