Existence of Positive Solutions for Multi-Point Boundary Value Problem with Strong Singularity

  • Authors:
  • Chan-Gyun Kim

  • Affiliations:
  • Department of Mathematics, Pusan National University, Pusan, Korea 609-735

  • Venue:
  • Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications
  • Year:
  • 2010

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Abstract

In this study, using a fixed point index theorem on a cone, we present some existence results for one or multiple positive solutions to the m-point boundary value problem with a nonlinear term which does not satisfy the L 1-Carath茅odory condition.