Left-definite spaces of singular Sturm-Liouville problems

摘要

The left-definite Hilbert spaces for singular Sturm-Liouville problems of the limit-circle type are explicitly constructed. The construction only uses an explicit form of the left-definite boundary conditions, together with a principle solution and a non-principle solution of the differential equation involved. (C) 2008 Elsevier Inc. All rights reserved.