Half-inverse Sturm-Liouville problem with boundary and discontinuity conditions dependent on the spectral parameter
Abstract
In this article, an impulsive Sturm-Liouville boundary value problem with the eigenvalue parameter rationally contained in one-boundary condition and linearly contained in the jump conditions is considered. It is proven that, if q(x) is prescribed on (1/2,1), a single spectrum, excluding a finite number of eigenvalues, is sufficient to determine q(x) on the interval (0, 1) and the other coefficients of the problem.
Source
INVERSE PROBLEMS IN SCIENCE AND ENGINEERINGVolume
22Issue
5Collections
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