On a class of second-order nonlinear difference equation

被引：10

作者：

Li Dongsheng ^{[1
]}

Zou Shuliang ^{[1
]}

Liao Maoxin ^{[2
]}

机构：

[1] Univ S China, Sch Econ & Management, Hengyang 421001, Hunan, Peoples R China

[2] Univ S China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2011年

关键词：

rational difference equation; trajectory structure rule; semicycle length; periodicity; global asymptotic stability; GLOBAL ASYMPTOTIC STABILITY; FAMILY;

D O I：

10.1186/1687-1847-2011-46

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the rule of trajectory structure for a kind of second-order rational difference equation. With the change of the initial values, we find the successive lengths of positive and negative semicycles for oscillatory solutions of this equation, and the positive equilibrium point 1 of this equation is proved to be globally asymptotically stable. Mathematics Subject Classification (2000) 39A10.

引用

页码：1 / 9

页数：9

共 50 条

[41] Nonlinear second-order impulsive q-difference Langevin equation with boundary conditions
Jessada Tariboon
Sotiris K Ntouyas
Boundary Value Problems, 2014
[42] Time second-order splitting conservative difference scheme for nonlinear fractional Schrodinger equation
Xie, Jianqiang
Ali, Muhammad Aamir
Zhang, Zhiyue
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (01) : 1411 - 1422
[43] Solvability of a one-parameter class of nonlinear second-order difference equations by invariants
Stevo Stević
Advances in Difference Equations, 2019
[44] Remarks on oscillation of second-order linear difference equation
Lei, Caiming
APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (08) : 2855 - 2857
[45] On the asymptotic behavior of a second-order linear difference equation
Mickens, RE
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 1999, 5 (01) : 111 - 112
[46] On four types of solutions of a second-order difference equation
Rachunek, Lukas
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2012, 18 (05) : 895 - 907
[47] Solvability of a one-parameter class of nonlinear second-order difference equations by invariants
Stevic, Stevo
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
[48] Qualitative behavior of a second-order fuzzy difference equation
Rahman, Ghaus Ur
Din, Qamar
Faizullah, Faiz
Khan, Faiz Muhammad
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2018, 34 (01) : 745 - 753
[49] Bifurcations in a second-order difference equation from macroeconomics
Li, Shuping
Zhang, Weinian
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2008, 14 (01) : 91 - 104
[50] Bounded in the mean solutions of a second-order difference equation
Horodnii, Mykhailo
Kravets, Victoriia
MODERN STOCHASTICS-THEORY AND APPLICATIONS, 2021, 8 (04): : 465 - 473

← 1 2 3 4 5 →