Advances in Difference Equations 
Volume 2008 (2008), Article ID 796851, 13 pages
doi:10.1155/2008/796851
Research Article

Multiple Positive Solutions in the Sense of Distributions of Singular BVPs on Time Scales and an Application to Emden-Fowler Equations

Ravi P. Agarwal,1 Victoria Otero-Espinar,2 Kanishka Perera,1 and Dolores R. Vivero2

 1Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA
2Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Galicia, Spain
Received 21 April 2008; Accepted 17 August 2008

Recommended by Paul Eloe

Abstract

This paper is devoted to using perturbation and variational techniques to derive some sufficient conditions for the existence of multiple positive solutions in the sense of distributions to a singular second-order dynamic equation with homogeneous Dirichlet boundary conditions, which includes those problems related to the negative exponent Emden-Fowler equation.