A note on the periodic cycle of Xn+2=(1+Xn+1)/(Xn)

被引:13
作者
El-Owaidy, HM [1 ]
El-Afifi, MM [1 ]
机构
[1] Al Azhar Univ, Fac Sci, Dept Math, Cairo 11884, Egypt
关键词
difference equations; oscillatory solutions;
D O I
10.1016/S0096-3003(99)00031-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The behaviour of solutions of the difference equation x(n+1) = a(n)+b(n)x(n)/x(n-1), n = 0, 1, ..., are investigated, where the sequences a(n) and b(n) are periodic. (C) 2000 Elsevier Science Inc. All rights reserved. AMS classification: 39A10; 39A99; 34C99.
引用
收藏
页码:301 / 306
页数:6
相关论文
共 5 条
[1]  
[Anonymous], 1945, MATH GAZ
[2]  
JIANSILE Y, COMMUNICATION
[3]   ON RATIONAL RECURSIVE SEQUENCES [J].
KOCIC, VL ;
LADAS, G ;
RODRIGUES, IW .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 173 (01) :127-157
[4]  
LEECH J, 1977, AM MATH MON, V84, P518, DOI 10.2307/2320014
[5]  
LYNESS RC, 1942, MATH GAZ, V26, P62