Mathematics Interdisciplinary Research (Mar 2022)
Incomplete and Interior Inverse Problem for a Discontinuous Differential Pencil with the Spectral Boundary Condition on the Half-Line
Abstract
Differential pencils on the half-line with a spectral boundary condition having a discontinuity in an interior point are investigated. We prove two uniqueness theorems: (i) knowing β1 ,β0 and potentials p,q on (0,a), only eigenvalues suffice to determine the boundary value problem B. (ii) some in formation on eigenfunctions at x = a and eigenvalues establish the boundary value problem B.
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