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The influence of boundary conditions and the deformation of a domain on the spectrum of operators generated by boundary value problems with a spectral parameter in the boundary conditions on a part of the boundary

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Literature cited

  1. J. Odhnoff, “Operators generated by differential problems with value parameter in the equation and boundary condition,” Lund (1959).

  2. V. V. Barkovskii, “Eigenfunction expansions for self-adjoint operators, which correspond to general elliptic problems with an eigenvalue in the boundary conditions,” Ukrainsk. Matem. Zh.,19, No. 1 (1967).

  3. V. V. Barkovskii, “The self-adjointness of operators generated by the Schrodinger equation and nonhomogeneous boundary conditions on a part of the boundary,” Differentsial. Uravneniya,6, No. 3 (1970).

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, USSR

    V. V. Barkovskii

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  1. V. V. Barkovskii
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 25, No. 2, pp. 147–157, March–April, 1973.

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Barkovskii, V.V. The influence of boundary conditions and the deformation of a domain on the spectrum of operators generated by boundary value problems with a spectral parameter in the boundary conditions on a part of the boundary. Ukr Math J 25, 121–128 (1973). https://doi.org/10.1007/BF01096970

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  • DOI: https://doi.org/10.1007/BF01096970

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