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Open Access Research Article

Positive Solutions of Singular Complementary Lidstone Boundary Value Problems

RaviP Agarwal1*, Donal O'Regan2 and Svatoslav Staněk3

Author Affiliations

1 Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901-6975, USA

2 Department of Mathematics, National University of Ireland, Galway, Ireland

3 Department of Mathematical Analysis, Faculty of Science, Palacký University, Tř. 17. listopadu 12, 771 46 Olomouc, Czech Republic

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Boundary Value Problems 2010, 2010:368169  doi:10.1155/2010/368169

Published: 2 December 2010

Abstract

We investigate the existence of positive solutions of singular problem , , , . Here, and the Carathéodory function may be singular in all its space variables . The results are proved by regularization and sequential techniques. In limit processes, the Vitali convergence theorem is used.