Boundary Value Problems
Volume 2006 (2006), Article ID 83910, 32 pages
doi:10.1155/BVP/2006/83910
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
Abstract
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.