In this paper we study existence and sufficiency conditions for the solutions of Sturm-Liouville operator problems related to the operator differential equation X'' - QX = F(t). Explicit solutions of the problem in terms of a square root of the operator Q are given.
@article{urn:eudml:doc:41066,
title = {Explicit solutions for non homogeneous Sturm-Liouville operators problems.},
journal = {Publicacions Matem\`atiques},
volume = {33},
year = {1989},
pages = {47-57},
mrnumber = {MR1004224},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41066}
}
Jódar Sánchez, Lucas. Explicit solutions for non homogeneous Sturm-Liouville operators problems.. Publicacions Matemàtiques, Tome 33 (1989) pp. 47-57. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41066/