Advances in Dynamical Systems and Applications
  • Year: 2008
  • Volume: 3
  • Issue: 1

Positive solutions to a singular second order boundary value problem

  • Author:
  • L. Erbe1, A. Peterson1, J. Weiss2
  • Total Page Count: 17
  • Page Number: 89 to 105

1Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE, 68588-0130, USA

2Department of Mathematics and Statistics, University of Nebraska-Kearney, Kearney, NE, 68847

AMS subject classification:

Abstract

In this paper, we establish some criteria for the existence of positive solutions for certain two point boundary value problems for the singular nonlinear second order equation on a time scale T. As a special case when 핋 = ℝ, our results include those of Erbe and Mathsen [11]. Our results are new in a general time scale setting and can be applied to difference and q-difference equations.