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  • 标题:On nonlinear discrete weakly singular inequalities and applications to Volterra-type difference equations
  • 本地全文:下载
  • 作者:Kelong Zheng ; Hong Wang ; Chunxiang Guo
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2013
  • 卷号:2013
  • 期号:1
  • 页码:239
  • DOI:10.1186/1687-1847-2013-239
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Some nonlinear discrete weakly singular inequalities, which generalize some known results are discussed. Under suitable parameters, prior bounds on solutions to nonlinear Volterra-type difference equations are obtained. Two examples are presented to show the applications of our results in boundedness and uniqueness of solutions of difference equations, respectively. MSC:34A34, 45J05.
  • 关键词:discrete integral inequalities ; weakly singular ; Volterra difference equation ; multi-step
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