On the Rational Recursive Sequence xn+1=(A+∑i=0kαixn−i)/(B+∑i=0kβixn−i). (5th April 2007)

• Record Type: Journal Article
• Authors: Zayed, E. M. E.; El-Moneam, M. A.
• Other Names: Bohner Martin J. Academic Editor.
• Is Part Of: International journal of mathematics and mathematical sciences. Voume 2007(2007)
• Publication Date: 2007-04-05
• Subjects: Mathematics -- Periodicals; 510.5
• DOI: 10.1155/2007/23618
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : The main objective of this paper is to study the boundedness character, the periodic character, the convergence, and the global stability of the positive solutions of the difference equation x n + 1 = ( A + ∑ i = 0 k α i x n − i ) / ( B + ∑ i = 0 k β i x n − i ), n = 0, 1, 2, …, where A, B, α i, β i and the initial conditions x − k, ..., x − 1, x 0 are arbitrary positive real numbers, while k is a positive integer number.