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On Estimating Eigenvalues of a Second Order Linear Differential Operator

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Abstract

For an eigenvalue problem on I0 = (0,1), we determine the maxima and infima of all eigenvalues when the coefficient p in the operator –y″ + py is allowed to vary in the class of all integrable functions with ∫ P+ = B or ∫ P+ = B where we integrate over the interval I0.

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© 1987 Birkhäuser Verlag Basel

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Essén, M. (1987). On Estimating Eigenvalues of a Second Order Linear Differential Operator. 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_28

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  • DOI: https://doi.org/10.1007/978-3-0348-7192-1_28

  • 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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