【摘要】 该文讨论了有限区间[O,π]上的Schrdinger算子二次微分束的半逆问题.改进了Koyunbakan和Panakhov的证明方法[12],证明了如果势函数(q(x),p(x))为[π/2,π]上的已知函数,则一组谱能够惟一确定有限区间[0,π]上的势函数(q(x),p(x))和边界条件中的系数h.更多还原

【Abstract】 In this paper,the authors discuss the half inverse problem for a quadratic pencil of the Schrodinger operator on the finite interval[0,π].Improving the Koyunbakan and Panakhov’s method,it is showed that if the potentials(q(x),p(x)) are prescribed on[π/2,π], then only one spectrum is sufficient to determine the potentials(q(x),p(x)) on the interval [0,π/2) for the quadratic pencil of the Schrodinger operator on the finite interval[0,π]and coefficient h of the boundary condition.更多还原