Open Access

Eigenvalues of the https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F37191/MediaObjects/13660_2005_Article_1589_IEq1_HTML.gif -Laplacian and disconjugacy criteria

Journal of Inequalities and Applications20062006:37191

DOI: 10.1155/JIA/2006/37191

Received: 6 September 2005

Accepted: 15 March 2006

Published: 31 May 2006

Abstract

We derive oscillation and nonoscillation criteria for the one-dimensional https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F37191/MediaObjects/13660_2005_Article_1589_IEq2_HTML.gif -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’ Affiliations

(1)
Departamento de Matematica, FCEyN, Universidad de Buenos Aires, Ciudad Universitaria
(2)
Instituto de Ciencias, Universidad Nacional de General Sarmiento

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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.