On the global behavior of ð‘¥áµ¤â‚Šâ‚ = |ð‘¥áµ¤|− ð‘¦áµ¤ − 1 and ð‘¦áµ¤â‚Šâ‚ = ð‘¥áµ¤ +|ð‘¦áµ¤|
-
E. A. Grove
grove@math.uri.edu
-
E. Lapierre
elapierre@jwu.edu
-
W. Tikjha
wirot_tik@yahoo.com
Downloads
DOI:
https://doi.org/10.4067/S0719-06462012000200007Abstract
In this paper we consider the system of piecewise linear difference equations in the title, where the initial conditions x0 and y0 are real numbers. We show that there exists a unique equilibrium solution and exactly two prime period-3 solutions, and that except for the unique equilibrium solution, every solution of the system is eventually one of the two prime period-3 solutions.
Keywords
Most read articles by the same author(s)
- E. A. Grove, G. Ladas, Periodicity in Nonlinear Difference Equations , CUBO, A Mathematical Journal: Vol. 4 No. 1 (2002): CUBO, Matemática Educacional
Similar Articles
- Satyam Narayan Srivastava, Smita Pati, John R. Graef, Alexander Domoshnitsky, Seshadev Padhi, Lyapunov-type inequalities for higher-order Caputo fractional differential equations with general two-point boundary conditions , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
- Jito Vanualailai, Bibhya Sharma, Moving a Robot Arm: An interesting application of the Direct method of Lyapunov , CUBO, A Mathematical Journal: Vol. 6 No. 3 (2004): CUBO, A Mathematical Journal
- A.G. Ramm, One-dimensional inverse scattering and spectral problems , CUBO, A Mathematical Journal: Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal
- George A. Anastassiou, Spline left fractional monotone approximation involving left fractional differential operators , CUBO, A Mathematical Journal: Vol. 17 No. 1 (2015): CUBO, A Mathematical Journal
- Maja Fosner, Benjamin Marcen, Nejc Sirovnik, On centralizers of standard operator algebras with involution , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
- Fatima Si bachir, Saïd Abbas, Maamar Benbachir, Mouffak Benchohra, Gaston M. N‘Guérékata, Existence and attractivity results for \(\psi\)-Hilfer hybrid fractional differential equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- A. Kaboré, S. Ouaro, Anisotropic problem with non-local boundary conditions and measure data , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Toka Diagana, Ahmed Mohamed, Pseudo-almost automorphic solutions to some second-order differential equations , CUBO, A Mathematical Journal: Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal
- Robert M. Yamaleev, Evolutionary method of construction of solutions of polynomials and related generalized dynamics , CUBO, A Mathematical Journal: Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal
- Rinko Shinzato, Wataru Takahashi, A Strong Convergence Theorem by a New Hybrid Method for an Equilibrium Problem with Nonlinear Mappings in a Hilbert Space , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
<< < 12 13 14 15 16 17 18 19 20 21 22 23 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2012-06-01
How to Cite
[1]
E. A. Grove, E. Lapierre, and W. Tikjha, “On the global behavior of ð‘¥áµ¤â‚Šâ‚ = |ð‘¥áµ¤|− ð‘¦áµ¤ − 1 and ð‘¦áµ¤â‚Šâ‚ = ð‘¥áµ¤ +|ð‘¦áµ¤|”, CUBO, vol. 14, no. 2, pp. 111–152, Jun. 2012.
Issue
Section
Articles
