不可分解边界条件下Borg唯一性定理的一个类似
An analogue of Borg's uniqueness theorem in the case of indecomposable boundary conditions
摘要:
证明了定义在区间[0,1]上的二阶方程的反问题的一个唯一性定理,当边界形式包含函数在点0和1的值的组合时.在我们的定理中的辅助本征值问题的选择在相同的方式在博格的唯一性定理是不是在Sadovni \v ci $\check \imath $的。因此,我们定理中的条件数比Sadovni \v ci $\check\imath$的少.
英文摘要:
An uniqueness theorem for the inverse problem in the case of a second-order equation defined on the interval [0,1] when the boundary forms contain combinations of the values of functions at the points 0 and 1 is proved. The auxiliary eigenvalue problems in our theorem are chose in the same manner as in Borg's uniqueness theorem are not as in that of Sadovni\v ci$\check \imath $'s. So number of conditions in our theorem is less than that in Sadovni\v ci$\check\imath$'s.
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