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
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.