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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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Authors and 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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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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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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  • DOI: https://doi.org/10.1155/JIA/2006/37191

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