【摘要】 本文研究参数边界条件下Sturm-Liouville算子的逆谱问题.利用Weyl函数的结果,证明对固定的n,n∈N₀,及不同的b_k,谱集合{λ_n（q,b_k）}_k=1^+∞能够唯一确定[0,1]上的势函数q（x）,这个定理是文献[4]结果的本质推广.更多还原

【Abstract】 In this paper, we discuss the inverse spectral problem for Sturm-Liouville operators with boundary conditions dependent on the spectral parameter. For each fixed n,n ∈ N₀ and various real numbe b_k, we show that the spectral set {λ_n（q,b_k）}_k=1^+∞is sufficient to determine the potential q（x） on [0,1] by the known result on the Weyl function, which is a generalization of the result in Ref [4].更多还原