Positive Solutions of Singular Complementary Lidstone Boundary Value Problems
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
Boundary Value Problems 2010, 2010:368169 doi:10.1155/2010/368169Published: 2 December 2010
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.