Expression and behavior of the solutions of some rational recursive sequences. (22nd April 2016)

• Record Type: Journal Article
• Authors: Elsayed, E. M.
• Is Part Of: Mathematical methods in the applied sciences. Volume 39:Number 18(2016:Dec. 15)
• Page Start: 5682
• Page End: 5694
• Publication Date: 2016-04-22
• Subjects: difference equations -- recursive sequences -- stability -- periodic solution; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.3953
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : We obtain in this paper the expression of the solutions of the following recursive sequences: x n + 1 = x n − 3 x n − 4 x n ( ± 1 ± x n − 1 x n − 2 x n − 3 x n − 4 ), n = 0, 1, …, where the initial conditions are arbitrary real numbers. Also, we study the behavior of the solution of these equations. Copyright © 2016 John Wiley & Sons, Ltd.