On the recursive sequence xn+1=α+βxn/Bxn+Cxn-1

被引：35

作者：

Cunningham, K ^{[1
]}

Kulenovic, MRS ^{[1
]}

Ladas, G ^{[1
]}

Valicenti, SV ^{[1
]}

机构：

[1] Univ Rhode Isl, Dept Math, Kingston, RI 02881 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 47卷 / 07期

关键词：

difference equations; global asymptotic stability; semicycles;

D O I：

10.1016/S0362-546X(01)00573-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the global character of solutions of the equation in the title with nonnegative parameters and positive initial conditions. We give a detailed description of the semicycles of solutions and prove that the equilibrium of the equation is globally asymptotically stable.

引用

页码：4603 / 4614

页数：12

共 11 条

[1] On the recursive sequence xn+1=α+xn-1/xn [J].

Amleh, AM ;

Grove, EA ;

Ladas, G ;

Georgiou, DA .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 233 (02) :790-798

[2]

[Anonymous], 1995, J DIFFER EQUATIONS A

[3] How to choose modified moments? [J].

Beckermann, B ;

Bourreau, E .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 98 (01) :81-98

[4]

Gibbons C.H., 2000, Math. Sci. Res. Hot-line, V4, P1

[5]

Karakostas G. L., 1993, Differential Equations and Dynamical Systems, V1, P289

[6] ON RATIONAL RECURSIVE SEQUENCES [J].

KOCIC, VL ;

LADAS, G ;

RODRIGUES, IW .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 173 (01) :127-157

[7]

KOCIC VL, 1993, GLOBAL BEHAV NONLINE

[8]

Kulenovic M. R. S., 1998, Mathematical Sciences Research Hot-Line, V2, P1

[9] On the recursive sequence xn+1=(αxn+βxn-1)/(A+xn) [J].

Kulenovic, MRS ;

Ladas, G ;

Prokup, NR .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2000, 6 (05) :563-576

[10]

KULENOVIC MRS, IN PRESS DYNAMICS 2

← 1 2 →