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Spectral problems with boundary and conjugating conditions depending on a parameter

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Abstract

We establish generalized orthogonality conditions and prove a theorem on completeness of the collection of eigenfunctions of a spectral problem with boundary and conjugating conditions depending on a parameter for piecewise homogeneous bounded connected and disconnected domains.

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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 12, pp. 1653–1660, December, 1995.

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Komarov, G.N. Spectral problems with boundary and conjugating conditions depending on a parameter. Ukr Math J 47, 1889–1897 (1995). https://doi.org/10.1007/BF01060962

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Keywords

  • Spectral Problem
  • Orthogonality Condition
  • Generalize Orthogonality