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- W2030574180 abstract "The inverse matrix Sturm–Liouville problem associated to the classical Rayleigh system is studied. This problem differs from previously investigated ones in several ways: the matrix potential is not Hermitian, the spectral parameter occurs also in the boundary condition, and both the potential and boundary condition depend also on a frequency parameter. We characterize all symmetries and identities satisfied by the corresponding scattering data and deduce an integral equation of the Gelfand–Levitan type that solves the inverse Rayleigh boundary problem. On the basis of these results we propose to study the interesting asymptotic properties of the Rayleigh boundary problem for large values of the frequency ω." @default.
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- W2030574180 date "1995-12-01" @default.
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- W2030574180 title "The inverse boundary problem for the Rayleigh system" @default.
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- W2030574180 doi "https://doi.org/10.1063/1.531182" @default.
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