Lyapunov-type inequality for higher order difference equations

被引：14

作者：

Liu, Xin-Ge ^{[1
]}

Tang, Mei-Lan ^{[1
]}

机构：

[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 232卷

关键词：

Lyapunov-type inequality; Higher order; Anti-periodic boundary conditions; Difference equation; ANTIPERIODIC BOUNDARY-CONDITIONS; SYSTEMS;

D O I：

10.1016/j.amc.2014.01.132

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new Lyapunov-type inequality for a class of higher order difference equations with anti-periodic boundary conditions is established. Applying our inequality, the lower bound of the eigenvalue for a related eigenvalue problem is given. (c) 2014 Elsevier Inc. All rights reserved.

引用

页码：666 / 669

页数：4

共 11 条

[1] Lyapunov-type integral inequalities for certain higher order differential equations [J].

Cakmak, Devrim .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (02) :368-373

[2]

Cheng S.S., 1983, Hokkaido Math. J, V12, P105

[3]

Clark S, 1998, MATH INEQUAL APPL, V1, P201

[4]

Parhi N., 2002, Mathematica Slovaca, V52, P31

[5] A discrete analogue of Lyapunov-type inequalities for nonlinear systems [J].

Unal, Mehmet ;

Cakmak, Devrim ;

Tiryaki, Aydin .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (11) :2631-2642

[6] Eigenvalues of second-order difference equations with periodic and antiperiodic boundary conditions [J].

Wang, Y ;

Shi, YM .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 309 (01) :56-69

[7] Lyapunov-type inequalities for certain higher order differential equations with anti-periodic boundary conditions [J].

Wang, Youyu .

APPLIED MATHEMATICS LETTERS, 2012, 25 (12) :2375-2380

[8] Lyapunov-type inequality for a class of even-order differential equations [J].

Yang, Xiaojing ;

Lo, Kueiming .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (11) :3884-3890

[9] On Liapunov-type inequality for certain higher-order differential equations [J].

Yang, XJ .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 134 (2-3) :307-317

[10] Lyapunov-type inequalities for even order difference equations [J].

Zhang, Qi-Ming ;

Tang, X. H. .

APPLIED MATHEMATICS LETTERS, 2012, 25 (11) :1830-1834

← 1 2 →