Automorphisms of the family of all Sturm-Liouville equations $y^{^{\prime \prime }}=qy$ are investigated. The classical Darboux transformation arises as a particular case of a general result.
@article{107532,
author = {Veronika Chrastinov\'a},
title = {On the Darboux transformation. II.},
journal = {Archivum Mathematicum},
volume = {031},
year = {1995},
pages = {121-138},
zbl = {0837.34015},
mrnumber = {1357980},
language = {en},
url = {http://dml.mathdoc.fr/item/107532}
}
Chrastinová, Veronika. On the Darboux transformation. II.. Archivum Mathematicum, Tome 031 (1995) pp. 121-138. http://gdmltest.u-ga.fr/item/107532/
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