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On a boundary problem generated by a self-adjoint Sturm-Liouville differential operator on the entire real axis

  • M. M. Gekhtman
  • I. V. Stankevich
Article
  • 33 Downloads

Abstract

In Hilbert space L2(0, a), 0 < a < ∞, we consider the spectral problem generated by a Sturm-Liouville operator with real potential and boundary conditions which depend on the spectral parameter. The paper investigates the spectrum and the questions connected with the completeness of the system of eigenfunctions.

Keywords

Boundary Condition Hilbert Space Differential Operator Real Axis Boundary Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Consultants Bureau, a division of Plenum Publishing Corporation 1970

Authors and Affiliations

  • M. M. Gekhtman
    • 1
    • 2
  • I. V. Stankevich
    • 1
    • 2
  1. 1.Dagestan State UniversityUSSR
  2. 2.Institute of Elementary Organic CompoundsAcademy of Sciences of the USSRUSSR

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