Oscillatory criteria for third-order nonlinear difference equation with impulses

被引：11

作者：

Lu, Wei ^{[1
,2
]}

Ge, Weigao ^{[2
]}

Zhao, Zhihong ^{[2
]}

机构：

[1] Suzhou Univ, Dept Math, Suzhou 234000, Anhui, Peoples R China

[2] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 234卷 / 12期

关键词：

Difference equation; Impulse; Nonlinearity; Oscillation; 2ND-ORDER; STABILITY;

D O I：

10.1016/j.cam.2010.04.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the oscillation of a third-order nonlinear difference equation with impulses. Some sufficient conditions for the oscillatory behavior of solutions of third-order impulsive nonlinear difference equation are obtained. Some known results in the literature are generalized and improved. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：3366 / 3372

页数：7

共 15 条

[1] Impulsive stability for systems of second order retarded differential equations [J].

Gimenes, L. P. ;

Federson, M. ;

Taboas, P. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (02) :545-553

[2] Existence and impulsive stability for second order retarded differential equations [J].

Gimenes, L. P. ;

Federson, M. .

APPLIED MATHEMATICS AND COMPUTATION, 2006, 177 (01) :44-62

[3] First-order impulsive ordinary differential equations with advanced arguments [J].

Jankowski, Tadeusz .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 331 (01) :1-12

[4]

Lakshmikantham V., 1989, World scientific, V6

[5] Oscillatory criteria for Third-Order difference equation with impulses [J].

Li, Qiaoluan ;

Zhang, Zhenguo ;

Guo, Fang ;

Liu, Zhiyong ;

Liang, Haiyan .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 225 (01) :80-86

[6] Oscillation of higher-order neutral nonlinear difference equations [J].

Li, WT .

APPLIED MATHEMATICS LETTERS, 1998, 11 (04) :1-8

[7]

Liang H., 2005, EOS Conference on Industrial Imaging and Machine Vision, P1

[8] Oscillation of second order linear differential equations with impulses [J].

Luo, Zhiguo ;

Shen, Jianhua .

APPLIED MATHEMATICS LETTERS, 2007, 20 (01) :75-81

[9] Oscillation theorems of second-order nonlinear neutral delay difference equations with impulses [J].

Peng, MS .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 44 (5-6) :741-748

[10] Oscillation criteria for second-order impulsive delay difference equations [J].

Peng, MS .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 146 (01) :227-235

← 1 2 →