Taşdemir, E. On the global asymptotic stability of a system of difference equations with quadratic terms. J. Appl. Math. Comput. (2020). https://doi.org/10.1007/s12190-020-01442-4
Taşdemir, E. On the global asymptotic stability of a system of difference equations with quadratic terms. J. Appl. Math. Comput. (2020). https://doi.org/10.1007/s12190-020-01442-4
Taşdemir, E. On the global asymptotic stability of a system of difference equations with quadratic terms. J. Appl. Math. Comput. (2020). https://doi.org/10.1007/s12190-020-01442-4
Taşdemir, E. On the global asymptotic stability of a system of difference equations with quadratic terms. J. Appl. Math. Comput. (2020). https://doi.org/10.1007/s12190-020-01442-4
Abstract
In this paper, we study the global asymptotically stability of following system of difference equations with quadratic terms: x_{n+1}=A+B((y_{n})/(y_{n-1}²)),y_{n+1}=A+B((x_{n})/(x_{n-1}²)) where A and B are positive numbers and the initial values are positive numbers. We also investigate the rate of convergence and oscillation behaviour of the solutions of related system.
Keywords
difference equations; dynamical systems; global stability; rate of convergence; boundedness; oscillation
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright:
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