Identification of a polynomial in nonsplitting boundary conditions
The paper deals with boundary value problems for the Sturm-Liouville equation on a finite interval, with non-separated boundary conditions, which are dependent on the spectral parameter. Assuming that one of the coefficient in these conditions is a polynomial (in the spectral parameter), the problem is to reconstruct the coefficients of this polynomial from a certain finite set of eigenvalues. The authors present conditions guaranteeing the unique determination of the coefficients.
boundary conditions involving spectral parameter
scientific article; zbMATH DE number 6140971