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Journal of Inequalities and Applications
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  • Research Article
  • Open Access

Eigenvalues of the -Laplacian and disconjugacy criteria

Journal of Inequalities and Applications20062006:37191

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

©  P. L. De Napoli and J. P. Pinasco 2006

  • Received: 6 September 2005
  • Accepted: 15 March 2006
  • Published:

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.

Keywords

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

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Authors’ Affiliations

(1)
Departamento de Matematica, FCEyN, Universidad de Buenos Aires, Ciudad Universitaria, Pabellon I, Buenos Aires, 1428, Argentina
(2)
Instituto de Ciencias, Universidad Nacional de General Sarmiento, J.M. Gutierrez 1150, Los Polvorines, Buenos Aires, 1613, Argentina

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Copyright

© P. L. De Napoli and J. P. Pinasco 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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