CONVERGENCE CRITERIA FOR A CLASS OF SECOND-ORDER DIFFERENCE EQUATIONS

被引：0

作者：

Adibi, H. ^{[1
]}

Liu, Xinzhi ^{[2
]}

Shojaei, M. ^{[1
]}

机构：

[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran, Iran

[2] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

来源：

DYNAMIC SYSTEMS AND APPLICATIONS | 2010年 / 19卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Difference equation; equilibrium; period two solution; convergence; symmetric functions; coordinate-wise monotonicity; OSCILLATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies a class of nonlinear second order difference equations of the type x(n+1) = f(x(n), x(n-1))/x(n), where f is symmetric and monotonic with initial conditions x(-1), x(0) being positive real numbers. Some sufficient conditions under which every positive solution of such equation converges to a period two solution or to the cycle {0, infinity} are established.

引用

页码：73 / 86

页数：14

共 50 条

[1] Oscillation criteria for a class of second-order impulsive delay difference equations
Zhang, Hong
Chen, Lansun
ADVANCES IN COMPLEX SYSTEMS, 2006, 9 (1-2): : 69 - 76
[2] ON THE CONVERGENCE OF SOLUTIONS TO SECOND-ORDER NEUTRAL DIFFERENCE EQUATIONS
Migda, Malgorzata
Migda, Janusz
Zdanowicz, Malgorzata
OPUSCULA MATHEMATICA, 2019, 39 (01) : 61 - 75
[3] Nonoscillatory criteria for second-order nonlinear difference equations
Deng, Jiqin
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2007, 37 (02) : 419 - 428
[4] Oscillation criteria for second-order linear difference equations
Jiang, JC
Li, XP
APPLIED MATHEMATICS AND COMPUTATION, 2003, 145 (2-3) : 591 - 601
[5] Homoclinic orbits of a class of second-order difference equations
Zhang, Xu
Shi, Yuming
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 396 (02) : 810 - 828
[6] Oscillation criteria for second-order neutral delay difference equations
Li, Horng-Jaan
Yeh, Cheh-Chih
Computers and Mathematics with Applications, 1998, 36 (10-12): : 123 - 132
[7] Oscillation criteria for second-order neutral delay difference equations
Li, HJ
Yeh, CC
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1998, 36 (10-12) : 123 - 132
[8] Oscillation Criteria for Second-Order Delay, Difference, and Functional Equations
Kikina, L. K.
Stavroulakis, I. P.
INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 2010
[9] Oscillation criteria for second-order impulsive delay difference equations
Peng, MS
APPLIED MATHEMATICS AND COMPUTATION, 2003, 146 (01) : 227 - 235
[10] Solvable subclasses of a class of nonlinear second-order difference equations
Stevic, Stevo
ADVANCES IN NONLINEAR ANALYSIS, 2016, 5 (02) : 147 - 165

← 1 2 3 4 5 →