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Spectral Isomorphisms between Generalized Sturm-Liouville Problems

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Linear Operators and Matrices

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 130))

Abstract

We characterize all isospectral norming constant preserving maps between certain classes of Sturm-Liouville problems with eigenparameter dependent and constant boundary conditions. In consequence we obtain existence and uniqueness inverse spectral results for Sturm-Liouville problems with eigenparameter dependent boundary conditions.

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© 2002 Springer Basel AG

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Binding, P.A., Browne, P.J., Watson, B.A. (2002). Spectral Isomorphisms between Generalized Sturm-Liouville Problems. In: Gohberg, I., Langer, H. (eds) Linear Operators and Matrices. Operator Theory: Advances and Applications, vol 130. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8181-4_11

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  • DOI: https://doi.org/10.1007/978-3-0348-8181-4_11

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9467-8

  • Online ISBN: 978-3-0348-8181-4

  • eBook Packages: Springer Book Archive

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