Open Access

Positive Solutions for Two-Point Semipositone Right Focal Eigenvalue Problem

Boundary Value Problems20072007:023108

DOI: 10.1155/2007/23108

Received: 28 March 2007

Accepted: 27 August 2007

Published: 17 October 2007

Abstract

Krasnoselskii's fixed-point theorem in a cone is used to discuss the existence of positive solutions to semipositone right focal eigenvalue problems https://static-content.springer.com/image/art%3A10.1155%2F2007%2F23108/MediaObjects/13661_2007_Article_638_IEq1_HTML.gif , https://static-content.springer.com/image/art%3A10.1155%2F2007%2F23108/MediaObjects/13661_2007_Article_638_IEq2_HTML.gif , https://static-content.springer.com/image/art%3A10.1155%2F2007%2F23108/MediaObjects/13661_2007_Article_638_IEq3_HTML.gif , https://static-content.springer.com/image/art%3A10.1155%2F2007%2F23108/MediaObjects/13661_2007_Article_638_IEq4_HTML.gif , https://static-content.springer.com/image/art%3A10.1155%2F2007%2F23108/MediaObjects/13661_2007_Article_638_IEq5_HTML.gif , where https://static-content.springer.com/image/art%3A10.1155%2F2007%2F23108/MediaObjects/13661_2007_Article_638_IEq6_HTML.gif , https://static-content.springer.com/image/art%3A10.1155%2F2007%2F23108/MediaObjects/13661_2007_Article_638_IEq7_HTML.gif is fixed, https://static-content.springer.com/image/art%3A10.1155%2F2007%2F23108/MediaObjects/13661_2007_Article_638_IEq8_HTML.gif is continuous with https://static-content.springer.com/image/art%3A10.1155%2F2007%2F23108/MediaObjects/13661_2007_Article_638_IEq9_HTML.gif for some positive constant https://static-content.springer.com/image/art%3A10.1155%2F2007%2F23108/MediaObjects/13661_2007_Article_638_IEq10_HTML.gif .

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Authors’ Affiliations

(1)
Department of Mathematics, Bei Hua University

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Copyright

© Y. Lin and M. Pei 2007

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.