The inverse spectral theory of a class of Atkinson-type Sturm-Liouville problems with non-self-adjoint boundary conditions containing the spectral parameter is investigated.Based on the so-called matrix representation...The inverse spectral theory of a class of Atkinson-type Sturm-Liouville problems with non-self-adjoint boundary conditions containing the spectral parameter is investigated.Based on the so-called matrix representations of such problems and a special class of inverse matrix eigenvalue problems,some of the coefficient functions of the corresponding Sturm-Liouville problems are constructed by using priori known two sets of complex numbers satisfying certain conditions.To best understand the result,an algorithm and some examples are posted.展开更多
基金Supported by the National Natural Science Foundation of China (12261066, 11661059)the Natural Science Foundation of Inner Mongolia (2021MS01020)。
文摘The inverse spectral theory of a class of Atkinson-type Sturm-Liouville problems with non-self-adjoint boundary conditions containing the spectral parameter is investigated.Based on the so-called matrix representations of such problems and a special class of inverse matrix eigenvalue problems,some of the coefficient functions of the corresponding Sturm-Liouville problems are constructed by using priori known two sets of complex numbers satisfying certain conditions.To best understand the result,an algorithm and some examples are posted.
