Annali di Matematica Pura ed Applicata

, Volume 77, Issue 1, pp 317–326 | Cite as

A method for determining upper bounds for the smallest eigenvalue in a class of singular problems

  • Walter Leighton


A method employing the calculus of variations for determining upper bounds of the smallest eigenvalue in a class of singular, second-order, linear problems is provided. Applications to the equation
$$y'' + 2\alpha [(x - \alpha )y]' + 4\beta y(1 - x^2 )^{ - 1} = 0$$
and to Bessel's equation illustrate the procedure.


Linear Problem Small Eigenvalue Singular Problem 
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Copyright information

© Nicola Zanichelli Editore 1967

Authors and Affiliations

  • Walter Leighton
    • 1
  1. 1.Columbia

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