Explicit solutions for Sturm-Liouville operator problems (II).
Stochastica, Tome 11 (1987) no. 2-3, p. 213.
Voir la notice de l'article dans European Digital Mathematics Library
It is proved that the resolution problem of a Sturm-Liouville operator problem for a second-order differential operator equation with constant coefficients is solved in terms of solutions of the corresponding algebraic operator equation. Existence and uniqueness conditions for the existence of nontrivial solutions of the problem and explicit expressions of them are given.
Classification :
47E05
Mots-clés : Ecuaciones diferenciales, Soluciones, Unicidad, Operadores, Sturm-Liouville operator, second-order differential operator equation with constant coefficients
Mots-clés : Ecuaciones diferenciales, Soluciones, Unicidad, Operadores, Sturm-Liouville operator, second-order differential operator equation with constant coefficients
@article{STO_1987__11_2-3_38988, author = {Lucas J\'odar S\'anchez}, title = {Explicit solutions for {Sturm-Liouville} operator problems {(II).}}, journal = {Stochastica}, pages = {213}, publisher = {mathdoc}, volume = {11}, number = {2-3}, year = {1987}, mrnumber = {MR0990885}, zbl = {0682.34018}, language = {en}, url = {https://geodesic-test.mathdoc.fr/item/STO_1987__11_2-3_38988/} }
Lucas Jódar Sánchez. Explicit solutions for Sturm-Liouville operator problems (II).. Stochastica, Tome 11 (1987) no. 2-3, p. 213. https://geodesic-test.mathdoc.fr/item/STO_1987__11_2-3_38988/