Boundary Value Problems
Volume 2006 (2006), Article ID 83910, 32 pages

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

R. P. Agarwal1 and I. Kiguradze2

1Department of Mathematical Sciences, Florida Institute of Technology, Melbourne 32901, FL, USA
2A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1 M. Aleksidze Street, Tbilisi 0193, Georgia

Received 4 April 2004; Revised 11 December 2004; Accepted 14 December 2004

Copyright © 2006 R. P. Agarwal and I. Kiguradze. 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.


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.