On monotone solutions of some classes of difference equations

被引：41
|
作者：
Stevic, Stevo [1 ]
机构：
[1] Serbian Acad Sci, Math Inst, Belgrade 11000, Serbia
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2006年 / 2006卷
关键词：
D O I：
10.1155/DDNS/2006/53890
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We describe a method for finding monotone solutions of some classes of difference equations converging to the corresponding equilibria. The method enables us to confirm three conjectures posed by the present author in a talk, which are extensions of three conjectures by M. R. S. Kulenovic and G. Ladas, Dynamics of Second Order Rational Difference Equations. With Open Problems and Conjectures. Chapman and Hall/CRC, 2002. It is interesting that the method, in some cases, can be applied also when the parameters are variable.
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页数：9
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