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Eigenvalues of the-Laplacian and disconjugacy criteria

Journal of Inequalities and Applications volume 2006, Article number: 37191 (2006) Cite this article

Abstract

We derive oscillation and nonoscillation criteria for the one-dimensional-Laplacian in terms of an eigenvalue inequality for a mixed problem. We generalize the results obtained in the linear case by Nehari and Willett, and the proof is based on a Picone-type identity.

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Affiliations

  1. Departamento de Matematica, FCEyN, Universidad de Buenos Aires, Ciudad Universitaria, Pabellon I, Buenos Aires, 1428, Argentina

    Pablo L. De Napoli

  2. Instituto de Ciencias, Universidad Nacional de General Sarmiento, J.M. Gutierrez 1150, Los Polvorines, Buenos Aires, 1613, Argentina

    Juan P. Pinasco

Authors
  1. Pablo L. De Napoli
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  2. Juan P. Pinasco
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Correspondence to Juan P. Pinasco.

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De Napoli, P.L., Pinasco, J.P. Eigenvalues of the-Laplacian and disconjugacy criteria. J Inequal Appl 2006, 37191 (2006). https://doi.org/10.1155/JIA/2006/37191

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Keywords

  • Linear Case
  • Mixed Problem
  • Eigenvalue Inequality
  • Nonoscillation Criterion
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