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  • 标题:Structure of Eigenvalues of Multi-Point Boundary Value Problems
  • 本地全文:下载
  • 作者:Jie Gao ; Dongmei Sun ; Meirong Zhang
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2010
  • 卷号:2010
  • 期号:1
  • 页码:381932
  • DOI:10.1155/2010/381932
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:The structure of eigenvalues of , , and , will be studied, where , , and . Due to the nonsymmetry of the problem, this equation may admit complex eigenvalues. In this paper, a complete structure of all complex eigenvalues of this equation will be obtained. In particular, it is proved that this equation has always a sequence of real eigenvalues tending to . Moreover, there exists some constant depending on , such that when satisfies , all eigenvalues of this equation are necessarily real.
  • 关键词:Entire Function ; Dirichlet Problem ; Implicit Function Theorem ; Negative Eigenvalue ; Real Eigenvalue
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