Some new finite difference inequalities arising in the theory of difference equations

被引：4

作者：

Feng, Qinghua ^{[1
,2
]}

Meng, Fanwei ^{[2
]}

Zhang, Yaoming ^{[1
]}

机构：

[1] Shandong Univ Technol, Sch Sci, Zibo 255049, Shandong, Peoples R China

[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2011年

基金：

中国国家自然科学基金;

关键词：

Finite difference inequalities; Difference equations; Explicit bounds; Qualitative analysis; Quantitative analysis; NONLINEAR DISCRETE INEQUALITIES;

D O I：

10.1186/1687-1847-2011-21

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, some new finite difference inequalities in two independent variables are established, which can be used in the study of qualitative as well as quantitative properties of solutions of certain difference equations. The established results extend some existing results in the literature.

引用

页数：17

共 15 条

[1]

[Anonymous], 2001, J INEQ PURE APPL MAT

[2]

Cheung WS, 2008, ACTA MATH SCI, V28, P417

[3] Discrete non-linear inequalities and applications to boundary value problems [J].

Cheung, Wing-Sum ;

Ren, Jingli .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 319 (02) :708-724

[4] Nonlinear discrete inequalities with two variables and their applications [J].

Deng, Shengfu .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (05) :2217-2225

[5] Explicit bounds on some new nonlinear integral inequalities with delay [J].

Jiang, Fangcui ;

Meng, Fanwei .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 205 (01) :479-486

[6]

Ma QH, 2000, ANN DIFFERENTIAL EQU, V16, P813

[7] Some new nonlinear Volterra-Fredholm-type discrete inequalities and their applications [J].

Ma, Qing-Hua .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 216 (02) :451-466

[8] Some new nonlinear difference inequalities and their applications [J].

Ma, Qing-Hua ;

Cheung, Wing-Sum .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 202 (02) :339-351

[9] Estimates on some power nonlinear Volterra-Fredholm type discrete inequalities and their applications [J].

Ma, Qing-Hua .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 233 (09) :2170-2180

[10] On some new nonlinear discrete inequalities and their applications [J].

Meng, Fan Wei ;

Ji, Dehong .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 208 (02) :425-433

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