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Existence of solutions with a single semicycle for a general second-order rational difference equation

Authors :
Li, Xianyi
Source :
Journal of Mathematical Analysis & Applications. Oct2007, Vol. 334 Issue 1, p528-533. 6p.
Publication Year :
2007

Abstract

Abstract: By making use of inclusion theorem, we show in this paper the existence of solutions with a single semicycle for a general second-order rational difference equation. As a corollary, our results positively confirm Conjectures 4.8.3 and 5.4.6 in [M.R.S. Kulenovic, G. Ladas, Dynamics of Second-Order Rational Difference Equations, with Open Problems and Conjectures, Chapman and Hall/CRC, 2002]. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
0022247X
Volume :
334
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Mathematical Analysis & Applications
Publication Type :
Academic Journal
Accession number :
25255787
Full Text :
https://doi.org/10.1016/j.jmaa.2006.12.072