Matrix representation of a sixth order Sturm-Liouville problem and related inverse problem with finite spectrum

نویسندگان

  • H‎. ‎ Mirzaei Faculty of Basic Sciences‎, ‎Sahand University of Technology‎, ‎Tabriz‎, ‎Iran
  • K. Ghanbari Faculty of Basic Sciences‎, ‎Sahand University of Technology‎, ‎Tabriz‎, ‎Iran
چکیده مقاله:

‎In this paper‎, ‎we find matrix representation of a class of sixth order Sturm-Liouville problem (SLP) with separated‎, ‎self-adjoint boundary conditions and we show that such SLP have finite spectrum‎. ‎Also for a given matrix eigenvalue problem $HX=lambda VX$‎, ‎where $H$ is a block tridiagonal matrix and $V$ is a block diagonal matrix‎, ‎we find a sixth order boundary value problem of Atkinson type that is equivalent to matrix eigenvalue problem.

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matrix representation of a sixth order sturm-liouville problem and related inverse problem with finite spectrum

‎in this paper‎, ‎we find matrix representation of a class of sixth order sturm-liouville problem (slp) with separated‎, ‎self-adjoint boundary conditions and we show that such slp have finite spectrum‎. ‎also for a given matrix eigenvalue problem $hx=lambda vx$‎, ‎where $h$ is a block tridiagonal matrix and $v$ is a block diagonal matrix‎, ‎we find a sixth order boundary value problem of atkin...

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عنوان ژورنال

دوره 41  شماره 4

صفحات  1031- 1043

تاریخ انتشار 2015-08-01

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