An analogue of Borg's uniqueness theorem in the case of indecomposable boundary conditions

Details An analogue of Borg's uniqueness theorem in the case of indecomposable boundary conditions An analogue of Borg's uniqueness theorem in the case of indecomposable boundary conditions

1998-12-16

arxiv.org/abs/math/9812091v1

Mathematics

Spectral Theory

LaTeX, version 2.09, 5 pages, style article

Scientific paper

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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