TY - JOUR ID - 34300 TI - The Uniqueness Theorem for the Solutions of Dual Equations of Sturm-Liouville Problems with Singular Points and Turning Points JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Mosazadeh, Seyfollah AD - Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, Iran. Y1 - 2019 PY - 2019 VL - 13 IS - 1 SP - 51 EP - 65 KW - Sturm-Liouville equation KW - Singular points KW - Turning points KW - Dual equations DO - 10.22130/scma.2018.73451.302 N2 - In 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. UR - https://scma.maragheh.ac.ir/article_34300.html L1 - https://scma.maragheh.ac.ir/article_34300_558e5017059030a2a631d70b10382c96.pdf ER -