University of MaraghehSahand Communications in Mathematical Analysis2322-580713120190201The Uniqueness Theorem for the Solutions of Dual Equations of Sturm-Liouville Problems with Singular Points and Turning Points51653430010.22130/scma.2018.73451.302ENSeyfollahMosazadehDepartment of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, Iran.Journal Article20171011In this paper, linear second-order differential equations of Sturm-Liouville 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 Sturm-Liouville equation. Then, we prove the uniqueness theorem for the solutions of dual initial value problems.https://scma.maragheh.ac.ir/article_34300_558e5017059030a2a631d70b10382c96.pdf