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文章基本信息

  • 标题:Existence and Multiplicity of Solutions for Discrete Nonlinear Two-Point Boundary Value Problems
  • 本地全文:下载
  • 作者:Jianmin Guo ; Caixia Guo
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2011
  • 卷号:2011
  • DOI:10.1155/2011/319829
  • 出版社:Hindawi Publishing Corporation
  • 摘要:By using Morse theory, the critical point theory, and the character of 𝐾1/2, we consider the existence and multiplicity results of solutions to the following discrete nonlinear two-point boundary value problem −Δ2𝑥(𝑘−1)=𝑓(𝑘,𝑥(𝑘)),𝑘∈ℤ(1,𝑇) subject to 𝑥(0)=0=Δ𝑥(𝑇), where 𝑇 is a positive integer, ℤ(1,𝑇)={1,2,…,𝑇},Δ is the forward difference operator defined by Δ𝑥(𝑘)=𝑥(𝑘
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