| Home  | About ScienceAsia  | Publication charge  | Advertise with us  | Subscription for printed version  | Contact us  
Editorial Board
Journal Policy
Instructions for Authors
Online submission
Author Login
Reviewer Login
Volume 48 Number 6
Volume 48 Number 5
Volume 48 Number 4
Volume 48 Number 3
Volume 48 Number 2
Volume 48S Number 1
Earlier issues
Volume 37 Number 1 Volume 37 Number 2 Volume 37 Number 3

previous article next article

Research articles

ScienceAsia 37 (2011): 136-144 |doi: 10.2306/scienceasia1513-1874.2011.37.136

Solutions of a class of nonlinear recursive equations and applications

Charinthip Hengkrawita, Vichian Laohakosolb,c, Watcharapon Pimsertb,*

ABSTRACT:     A class of recursive equations extending those of the form yn=(yn−2yn−1−1)/(yn−2+yn−1) is transformed into a special case of the nonlinear recursive equation xn=cxn−1h1(n)xn−2h2(n)...xnl+1hl−1(n)xnlhl(n). A general solution of this equation is determined by solving its associated linear difference equation. Several known results are derived as special cases. Connections of the case l=2 to continued fractions are elaborated.

Download PDF

0 Downloads 1069 Views

a Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathum Thani 12120, Thailand
b Department of Mathematics, Institute for Advanced Studies, Kasetsart University, Bangkok 10900, Thailand
c Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400, Thailand

* Corresponding author, E-mail: charinthip@mathstat.sci.tu.ac.th

Received 29 Aug 2010, Accepted 12 Apr 2011