Next Article in Journal
Recurrence Relations for Orthogonal Polynomials on Triangular Domains
Previous Article in Journal
Existence of Semi Linear Impulsive Neutral Evolution Inclusions with Infinite Delay in Frechet Spaces
Article

Qualitative Properties of Difference Equation of Order Six

by 1,* and 1,2
1
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
2
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
*
Author to whom correspondence should be addressed.
Academic Editor: Johnny Henderson
Mathematics 2016, 4(2), 24; https://doi.org/10.3390/math4020024
Received: 10 February 2016 / Revised: 28 March 2016 / Accepted: 1 April 2016 / Published: 12 April 2016
In this paper we study the qualitative properties and the periodic nature of the solutions of the difference equation x n + 1 = α x n - 2 + β x n - 2 2 γ x n - 2 + δ x n - 5 , n = 0 , 1 , . . . , where the initial conditions x - 5 , x - 4 , x - 3 , x - 2 , x - 1 , x 0 are arbitrary positive real numbers and α , β , γ , δ are positive constants. In addition, we derive the form of the solutions of some special cases of this equation. View Full-Text
Keywords: periodicity; global attractor; boundedness; rational difference equations periodicity; global attractor; boundedness; rational difference equations
Show Figures

Figure 1

MDPI and ACS Style

Khaliq, A.; Elsayed, E.M. Qualitative Properties of Difference Equation of Order Six. Mathematics 2016, 4, 24. https://doi.org/10.3390/math4020024

AMA Style

Khaliq A, Elsayed EM. Qualitative Properties of Difference Equation of Order Six. Mathematics. 2016; 4(2):24. https://doi.org/10.3390/math4020024

Chicago/Turabian Style

Khaliq, Abdul, and E.M. Elsayed 2016. "Qualitative Properties of Difference Equation of Order Six" Mathematics 4, no. 2: 24. https://doi.org/10.3390/math4020024

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop