Lyapunov Inequalities for One-Dimensional -Laplacian Problems with a Singular Weight Function

Inbo Sim; Yong-Hoon Lee

doi:10.1155/2010/865096

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Research Article

Open Access

Lyapunov Inequalities for One-Dimensional -Laplacian Problems with a Singular Weight Function

Inbo Sim¹ and
Yong-Hoon Lee²Email author

Journal of Inequalities and Applications20092010:865096

https://doi.org/10.1155/2010/865096

Received: 8 October 2009

Accepted: 24 November 2009

Published: 2 December 2009

Abstract

We estimate Lyapunov inequalities for a single equation, a cycled system and a coupled system of one-dimensional -Laplacian problems with weight functions having stronger singularities than .

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Authors’ Affiliations

(1)

Department of Mathematics, University of Ulsan

(2)

Department of Mathematics, Pusan National University

Copyright

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.