SOME DISCRETE NONLINEAR INEQUALITIES AND APPLICATIONS TO DIFFERENCE EQUATIONS

doi:10.1016/S0252-9602(08)60044-2

数学物理学报(英文版)

SOME DISCRETE NONLINEAR INEQUALITIES AND APPLICATIONS TO DIFFERENCE EQUATIONS

Cheung Wing-Sum; Ma Qing-Hua; Josip Pecaric

Department of Mathematics, University of Hong Kong, Hong Kong

收稿日期:2005-12-21 修回日期:2006-07-10 出版日期:2008-04-20 发布日期:2008-04-20
通讯作者: Cheung Wing-Sum
基金资助:
Research is supported in part by a HKU Seed grant and
the Research Grants Council of the Hong Kong SAR (HKU7016/07P)

SOME DISCRETE NONLINEAR INEQUALITIES AND APPLICATIONS TO DIFFERENCE EQUATIONS

Cheung Wing-Sum; Ma Qing-Hua; Josip Pecaric

Department of Mathematics, University of Hong Kong, Hong Kong

Received:2005-12-21 Revised:2006-07-10 Online:2008-04-20 Published:2008-04-20
Contact: Cheung Wing-Sum

摘要/Abstract

摘要：

In this article, the authors establish some new nonlinear difference
inequalities in two independent variables, which generalize some
existing results and can be used as handy tools in the study of qualitative as
well as quantitative properties of solutions of certain classes of difference equations.

关键词: Discrete Gronwall-Bellman-Ou-Iang type inequalities, a Priori bound,
difference equation, boundary value problems

Abstract:

Key words: Discrete Gronwall-Bellman-Ou-Iang type inequalities, a Priori bound,
difference equation, boundary value problems

中图分类号:

26D15

Cheung Wing-Sum; Ma Qing-Hua; Josip Pecaric. SOME DISCRETE NONLINEAR INEQUALITIES AND APPLICATIONS TO DIFFERENCE EQUATIONS[J]. 数学物理学报(英文版), 2008, 28(2): 417-430.

Cheung Wing-Sum; Ma Qing-Hua; Josip Pecaric. SOME DISCRETE NONLINEAR INEQUALITIES AND APPLICATIONS TO DIFFERENCE EQUATIONS[J]. Acta mathematica scientia,Series B, 2008, 28(2): 417-430.

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SOME DISCRETE NONLINEAR INEQUALITIES AND APPLICATIONS TO DIFFERENCE EQUATIONS

SOME DISCRETE NONLINEAR INEQUALITIES AND APPLICATIONS TO DIFFERENCE EQUATIONS

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