Advances in Difference Equations
Volume 2008 (2008), Article ID 796851, 13 pages
Multiple Positive Solutions in the Sense of Distributions of Singular BVPs on Time Scales and an Application to Emden-Fowler Equations
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
Academic Editor: Paul Eloe
Copyright © 2008 Ravi P. Agarwal et al. 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.
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.