By means of the reduction of boundary value problems to algebraic ones, conditions for the existence of solutions and explicit expressions of them are obtained. These boundary value problems are related to the second order operator differential equation X(2) + A1X(1) + A0X = 0, and X(1) = A + BX + XC. For the finite-dimensional case, computable expressions of the solutions are given.
@article{urn:eudml:doc:38960, title = {Algebraic methods for solving boundary value problems.}, journal = {Stochastica}, volume = {10}, year = {1986}, pages = {259-270}, zbl = {0652.34020}, mrnumber = {MR0957491}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38960} }
Jódar Sánchez, Lucas. Algebraic methods for solving boundary value problems.. Stochastica, Tome 10 (1986) pp. 259-270. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38960/