The Global Behavior of a Second Order Exponential Difference Equation
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 5, p. 781
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this paper we present the Julia set and the global behavior of an exponential second order difference equation of the type \begin{equation*} x_{n+1}=ax_{n-1}+bx_{n-1}\exp eft( cx_{n-1}+cx_{n}\right), \end{equation*}where $a\ge0$, $b>0$ and $c>0$ with non-negative initial conditions.
Classification :
39A10, 39A23
Keywords: Basin of attraction, period-two solutions, Julia set, difference equation.
Keywords: Basin of attraction, period-two solutions, Julia set, difference equation.
Vahidin Hadžiabdić; Jasmin Bektešević; Midhat Mehuljić. The Global Behavior of a Second Order Exponential Difference Equation. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 5, p. 781 . http://geodesic.mathdoc.fr/item/KJM_2025_49_5_a9/
@article{KJM_2025_49_5_a9,
author = {Vahidin Had\v{z}iabdi\'c and Jasmin Bekte\v{s}evi\'c and Midhat Mehulji\'c},
title = {The {Global} {Behavior} of a {Second} {Order} {Exponential} {Difference} {Equation}},
journal = {Kragujevac Journal of Mathematics},
pages = {781 },
year = {2025},
volume = {49},
number = {5},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2025_49_5_a9/}
}
TY - JOUR AU - Vahidin Hadžiabdić AU - Jasmin Bektešević AU - Midhat Mehuljić TI - The Global Behavior of a Second Order Exponential Difference Equation JO - Kragujevac Journal of Mathematics PY - 2025 SP - 781 VL - 49 IS - 5 UR - http://geodesic.mathdoc.fr/item/KJM_2025_49_5_a9/ LA - en ID - KJM_2025_49_5_a9 ER -