CAJ | 학술논문

奇型Sturm-Liouville问题的势函数q（x）由两组谱唯一确定的,Sturm-Liouville算子的半逆问题讨论由一组谱和一半势函数唯一确定势函数q（x）.本文利用Koyunbakan和Panakhov的方法,证明一组谱和（π/2,π）上的势函数q（x）唯一确定（0,π）上Sturm-Liouville方程含有奇型的1sin2x的势函数q（x）.
기형Sturm-Liouville문제적세함수q（x）유량조보유일학정적,Sturm-Liouville산자적반역문제토론유일조보화일반세함수유일학정세함수q（x）.본문이용Koyunbakan화Panakhov적방법,증명일조보화（π/2,π）상적세함수q（x）유일학정（0,π）상Sturm-Liouville방정함유기형적1sin2x적세함수q（x）.
The potential q（x） of singular Sturm-Liouville operators can be uniquely determined from two spectrum, Half-inverse problem for Sturm-Liouville operators consists of reconstruction of this operator by its spectrum and half of the potential. In this paper, using Koyunbakn and Panakhov＇s method, we show that if q（x） is prescribed on 0 （π/2,π）, then only one spectrum is sufficient to determine q（x） on the interval （0, π） for the Sturm-Liouville equation having singularity type 1/sin2x on （0,π）.