The uniqueness theorem for the solutions of dual equations of Sturm-Liouville problems with singular points and turning points

چکیده مقاله

‎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