【摘要】 研究了有限区间[0,π]上的扩散算子的反问题,证明如果已知边界条件中的系数h,则部分特征函数在(0,π)内某点的函数值及二组谱的部分谱能够惟一确定势函数(q,p)及边界条件中的系数H.更多还原

【Abstract】 In this paper,we discuss the inverse problem for diffusion operators on the finite interval[0,π]from interior spectral data and show that if coefficient h of the boundary condition is known a priori,then the potentials(q,p) and coefficient H of the boundary condition can be uniquely determined by a set of values of eigenfunctions at some interior point and parts of two spectra.更多还原