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  • 标题:On nonlocal Neumann boundary value problem for a second-order forward ( α , β ) $(lpha,eta)$ -difference equation
  • 作者:Thitiporn Linitda ; Saowaluck Chasreechai
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2018
  • 卷号:2018
  • 期号:1
  • 页码:372
  • DOI:10.1186/s13662-018-1793-6
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we present some properties of the forward ( α , β ) $(lpha,eta )$ -difference operators, and the existence results of two nonlocal boundary value problems for second-order forward ( α , β ) $(lpha,eta)$ -difference equations. The existence and uniqueness results are proved by using the Banach fixed point theorem, and the existence of at least one positive solution is established by using the Krasnoselskii’ fixed point theorem.
  • 关键词:Forward ((lpha,eta)) -difference equations ; Neumann boundary value problem ; Positive solution ; Existence
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