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  • 标题:Reconstruction of nonlinear integral inequalities associated with time scales calculus
  • 本地全文:下载
  • 作者:Zareen A. Khan
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2020
  • 卷号:2020
  • 期号:1
  • 页码:1-18
  • DOI:10.1186/s13662-020-02842-3
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we build up some generalizations of nonlinear integral inequalities and recreate the results of some Pachpatte’s inequalities on time scales. We not just settle new estimated bounds of a particular class of nonlinear retarded dynamic inequalities, but additionally determine and unify continuous analogs alongside a subjective time scale $\mathbb{T}$. We demonstrate applications of the treated inequalities to reflect the benefits of our work. The key effects will be proven by using the analysis procedure and the standard time-scale comparison theorem technique.
  • 关键词:Integral Pachpatte’s inequalities;Time scales;Dynamic equations;
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