A Discontinuous Sturm-Liouville Operator With Indefinite Weight

نویسندگان

  • Qiuxia Yang
  • Wanyi Wang
چکیده

The research is financed by the Natural Science Foundation of China and the National Natural Science Foundation of Neimongo. No. 10661008 and 200711020102 (Sponsoring information) Abstract In this paper, we consider an indefinite Sturm-Liouville operator with eigenparameter-dependent boundary conditions and transmission conditions. In an appropriate space K, we define a new self-adjoint operator A such that the eigenvalues of A coincide with those of such a problem and obtain asymptotic approximation for its eigenvalues and eigenfunctions.

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تاریخ انتشار 2010