Finding a Velocity Profile from a Love Wave Dispersion Curve: Problems of Uniqueness
In  we considered the problem of finding a function ρ(x) from the eigenvalue s = s(p) of an equation y″ + [pρ(x) − s] y = 0. The methods employed in  allow us to consider a more general equation [A(x)y′]′+ [pB(x) − sC(x)] y = 0. This in turn makes it possible to study some questions of uniqueness in the inverse problem for Love waves, i.e., determination of the characteristics of the medium from the phase or group velocity.
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