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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
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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

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