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  • Research Article
  • Open Access

Two-point boundary value problems for higher-order linear differential equations with strong singularities

Boundary Value Problems20062006:83910

  • Received: 4 April 2004
  • Accepted: 14 December 2004
  • Published:


For strongly singular higher-order linear differential equations together with two-point conjugate and right-focal boundary conditions, we provide easily verifiable best possible conditions which guarantee the existence of a unique solution.


  • Boundary Condition
  • Differential Equation
  • Partial Differential Equation
  • Unique Solution
  • Ordinary Differential Equation


Authors’ Affiliations

Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA
A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1 M. Aleksidze Street, Tbilisi, 0193, Georgia


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© Agarwal and Kiguradze 2006