International Journal of Modern Nonlinear Theory and Application

Volume 2, Issue 1 (March 2013)

ISSN Print: 2167-9479   ISSN Online: 2167-9487

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Stability Analysis of a Nonlinear Difference Equation

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DOI: 10.4236/ijmnta.2013.21001    4,439 Downloads   8,399 Views  Citations
Author(s)

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.

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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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