Mathematical Notes

, Volume 63, Issue 3, pp 302–310 | Cite as

A geometric method for solving a series of integral Poincaré-Steklov equations

  • A. B. Bogatyre


Eigenvalues and eigenfunctions are explicitly found for a family of singular integral equations. It is shown how their discrete spectrum becomes continuous as the equation degenerates.

Key words

Poincaré-Steklov equation integral equation spectrum discrete spectrum singular integral equation 


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Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • A. B. Bogatyre
    • 1
  1. 1.Institute for Computational MathematicsRussian Academy of SciencesUSSR

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