On the Dynamics of the Nonlinear Rational Difference Equation x_{n+1}=Ax_{n}+Bx_{n-a}+((ax_{n-a}+bx_{n-k})/(cx_{n-a}+dx_{n-k}))

Authors

  • H. S. Alshawee

Keywords:

stability, periodicity, boundedneec, global stable, difference equation

Abstract

In this paper we study the locally stability global stability the periodicity and the boundedness of the positive solutions of the following nonlinear difference equationwhere the coefficients and are positive real number and are positive integers The initial conditions are arbitrary positive real numbers such that

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How to Cite

H. S. Alshawee. (2015). On the Dynamics of the Nonlinear Rational Difference Equation x_{n+1}=Ax_{n}+Bx_{n-a}+((ax_{n-a}+bx_{n-k})/(cx_{n-a}+dx_{n-k})). Global Journal of Science Frontier Research, 15(F9), 33–43. Retrieved from https://journalofscience.org/index.php/GJSFR/article/view/102261

 
On the Dynamics of the Nonlinear Rational Difference Equation x_{n+1}=Ax_{n}+Bx_{n-a}+((ax_{n-a}+bx_{n-k})/(cx_{n-a}+dx_{n-k}))

Published

2015-05-15

Issue

Vol. 15 No. F9 (2015): GJSFR-F Mathematics: Volume 15 Issue F9

Section

Articles

License

Copyright (c) 2015 Authors and Global Journals Private Limited

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.