Global Dynamics of Certain Mix Monotone Difference Equation
Department of Mathematics, University of Sarajevo, 71000 Sarajevo, Bosnia and Herzegovina
Department of Mathematics, University of Tuzla, 75000 Tuzla, Bosnia and Herzegovina
Author to whom correspondence should be addressed.
Received: 7 December 2017 / Revised: 3 January 2018 / Accepted: 7 January 2018 / Published: 12 January 2018
We investigate global dynamics of the following second order rational difference equation
where the parameters
are positive real numbers and initial conditions
are arbitrary positive real numbers. The map associated to the right-hand side of this equation is always decreasing in the second variable and can be either increasing or decreasing in the first variable depending on the corresponding parametric space. In most cases, we prove that local asymptotic stability of the unique equilibrium point implies global asymptotic stability.
This is an open access article distributed under the Creative Commons Attribution License
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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MDPI and ACS Style
Kalabušić, S.; Nurkanović, M.; Nurkanović, Z. Global Dynamics of Certain Mix Monotone Difference Equation. Mathematics 2018, 6, 10.
Kalabušić S, Nurkanović M, Nurkanović Z. Global Dynamics of Certain Mix Monotone Difference Equation. Mathematics. 2018; 6(1):10.
Kalabušić, Senada; Nurkanović, Mehmed; Nurkanović, Zehra. 2018. "Global Dynamics of Certain Mix Monotone Difference Equation." Mathematics 6, no. 1: 10.
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