Acta mathematica scientia,Series B

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SOME DISCRETE NONLINEAR INEQUALITIES AND APPLICATIONS TO DIFFERENCE EQUATIONS

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

  1. 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

Abstract:

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.

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

CLC Number: 

  • 26D15
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