The Inverse Sturm – Liouville Problem with Mixed Boundary Conditions

@inproceedings{Korotyaev2010TheIS,
  title={The Inverse Sturm – Liouville Problem with Mixed Boundary Conditions},
  author={Evgeny L. Korotyaev},
  year={2010}
}
Let Hψ = −ψ′′+qψ, ψ(0) = 0, ψ′(1)+bψ(1) = 0 be a selfadjoint Sturm– Liouville operator acting in L2(0, 1). Let λn(q, b) and νn(q, b) denote its eigenvalues and the so-called norming constants, respectively. A complete characterization of all spectral data ({λn} n=0; {νn} +∞ n=0) corresponding to (q; b) ∈ L2(0, 1)×R is given, together with a similar characterization for fixed b and a parametrization of isospectral manifolds. §