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Continuity of the S matrix for the perturbed Hill's equation
(AIP Publishing, 1994-07)
The behavior of the scattering matrix associated with the perturbed Hill's equation as the spectral parameter approaches an endpoint of a spectral band is studied. In particular, the continuity of the scattering matrix at ...
Integral equation methods for the inverse problem with discontinuous wave speed
(AIP Publishing, 1996-07)
The recovery of the coefficient H(x) in the one-dimensional generalized Schrodinger equation d(2) psi dx(2)+k(2)H(x)(2) psi=Q(x)psi, where H(x) is a positive, piecewise continuous function with positive limits H-+/- as ...