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Matrix boundary value problems with eigenvalue dependent boundary conditions (the linear case)

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Topics in Interpolation Theory

Part of the book series: Operator Theory Advances and Applications ((OT,volume 95))

Abstract

A selfadjoint extension of a matrix boundary value problem in which the eigenvalue parameter enters the boundary conditions linearly is constructed by adjoining a finite dimensional space with an indefinite scalar product. A related generalized Lagrange identity involving the V-Bezoutian of the linear matrix polynomials from the boundary conditions is derived.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Kharkov State Automobile Highway Technical University, 25 Petrovskii Street, 310078, Kharkov, Ukraine

    E. M. Russakovskii

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  1. E. M. Russakovskii
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Editors and Affiliations

  1. Department of Theoretical Mathematics, The Weizmann Institute of Science, 76100, Rehovot, Israel

    H. Dym  & V. Katsnelson  & 

  2. Mathematisches Institut, Universität Leipzig, 04109, Leipzig, Germany

    B. Fritzsche  & B. Kirstein  & 

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© 1997 Springer Basel AG

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Russakovskii, E.M. (1997). Matrix boundary value problems with eigenvalue dependent boundary conditions (the linear case). In: Dym, H., Katsnelson, V., Fritzsche, B., Kirstein, B. (eds) Topics in Interpolation Theory. Operator Theory Advances and Applications, vol 95. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8944-5_21

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  • DOI: https://doi.org/10.1007/978-3-0348-8944-5_21

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9838-6

  • Online ISBN: 978-3-0348-8944-5

  • eBook Packages: Springer Book Archive

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