On the recursive sequence Xn+1=A Pi(k)(i=1) x(n-2i-1)/B+C Pi(k-1)(i=1) x(n-2i)

Alaa. E. Hamza; R. Khalaf-Allah

doi:10.1016/j.camwa.2008.04.014

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On the recursive sequence Xn+1=A Pi(k)(i=1) x(n-2i-1)/B+C Pi(k-1)(i=1) x(n-2i)

Journal article

Peer reviewed

On the recursive sequence Xn+1=A Pi(k)(i=1) x(n-2i-1)/B+C Pi(k-1)(i=1) x(n-2i)

Alaa. E. Hamza and R. Khalaf-Allah

Computers & mathematics with applications (1987), Vol.56(7), pp.1726-1731

01/10/2008

DOI: https://doi.org/10.1016/j.camwa.2008.04.014

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

The aim of this work is to investigate the global stability, periodic nature, oscillation and the boundedness of solutions of the difference equation Xn+1= A Pi(k)(i=1) Xn-2i-1/B+C Pi(k-1)(i=1) Xn-2i, n=0,1... where A, B, C are nonnegative real numbers and l, k are nonnegative integers, l < k. We discuss the existence Of unbounded solutions under certain conditions when l = 0. (C) 2008 Elsevier Ltd. All rights reserved.

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Title: On the recursive sequence Xn+1=A Pi(k)(i=1) x(n-2i-1)/B+C Pi(k-1)(i=1) x(n-2i)
Creators - without role: Alaa. E. Hamza - Cairo University
R. Khalaf-Allah - Qassim University
Publication Details: Computers & mathematics with applications (1987), Vol.56(7), pp.1726-1731
Publisher: Elsevier
Number of pages: 6
Identifiers: 9928613308331
Academic Unit: Qassim University; University of Jeddah
Language: English
Resource Type: Journal article