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  • 标题:Indefinite eigenvalue problem with eigenparameter in the two boundary conditions
  • 本地全文:下载
  • 作者:S. F. M. Ibrahim
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:1998
  • 卷号:21
  • 期号:4
  • 页码:775-784
  • DOI:10.1155/S0161171298001082
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    The object of this paper is to establish an expansion theorem for a regular indefinite eigenvalue problem of second order differential equation with an eigenvalue parameter, λ in the two boundary conditions. We associated with this problem a J -selfadjoint operator with compact resolvent defined in a suitable Krein space and then we develop an associated eigenfunction expansion theorem.

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