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/