The Uniqueness Theorem for the Solutions of Dual Equations of Sturm-Liouville Problems with Singular Points and Turning Points

In this paper, linear secondorder differential equations of SturmLiouville type having a finite number of singularities and turning points in a finite interval are investigated. First, we obtain the dual equations associated with the SturmLiouville equation. Then, we prove the uniqueness theorem for the solutions of dual initial value problems.