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Extremal Problems for Eigenvalues of the Sturm-Liouville Type

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General Inequalities 5

Abstract

Extremal problems are constructed which yield upper bounds for the eigenvalues of certain Sturm-Llouville problems. An isoperimetric inequality of Troesch [7] is extended. The method is based on rearrangement techniques and on the discussion of a nonlinear functional.

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References

  1. C. Bandle and B. Zemp, Problèmes aux valeurs propres extrémaux du type de Sturm-Liouville. C. R. Acad. Se. Paris 301 (1985), 895–897.

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Author information

Authors and Affiliations

  1. Mathematisches Institut, Universität Basel, Rheinsprung 21, CH-4051, Basel, Switzerland

    Catherine Bandle

Authors
  1. Catherine Bandle
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Editor information

Editors and Affiliations

  1. Mathematisches Institut I, Universität Karlsruhe, Kaiserstraße 12, D-7500, Karlsruhe 1, Germany

    Wolfgang Walter

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© 1987 Birkhäuser Verlag Basel

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Bandle, C. (1987). Extremal Problems for Eigenvalues of the Sturm-Liouville Type. In: Walter, W. (eds) General Inequalities 5. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik Série internationale d’Analyse numérique, vol 80. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7192-1_26

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  • DOI: https://doi.org/10.1007/978-3-0348-7192-1_26

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-7194-5

  • Online ISBN: 978-3-0348-7192-1

  • eBook Packages: Springer Book Archive

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