Abstract
We will need representations of solutions of the Sturm–Liouville equation and algorithms for recovering its potential q from two of its spectra, corresponding to two distinct sets of separated boundary conditions. These results are due to [178], see also [177], [180]. For the convenience of the reader and easy reference we recall these results from V.A. Marchenko [180], thereby adapting them to our notation and considering Sturm–Liouville problems on intervals [0, a] with arbitrary a > 0. Other presentations of the inverse Sturm–Liouville problem can be found, e. g., in [177], [235], [282], [80].
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Möller, M., Pivovarchik, V. (2015). Inverse Sturm–Liouville Problems. In: Spectral Theory of Operator Pencils, Hermite-Biehler Functions, and their Applications. Operator Theory: Advances and Applications, vol 246. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-17070-1_12
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DOI: https://doi.org/10.1007/978-3-319-17070-1_12
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-17069-5
Online ISBN: 978-3-319-17070-1
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