Explicit solutions for Sturm-Liouville operator problems (II).

Lucas Jódar Sánchez

Stochastica (1987)

  • Volume: 11, Issue: 2-3, page 213-226
  • ISSN: 0210-7821

Abstract

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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.

How to cite

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Jódar Sánchez, Lucas. "Explicit solutions for Sturm-Liouville operator problems (II).." Stochastica 11.2-3 (1987): 213-226. <http://eudml.org/doc/38988>.

@article{JódarSánchez1987,
abstract = {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.},
author = {Jódar Sánchez, Lucas},
journal = {Stochastica},
keywords = {Ecuaciones diferenciales; Soluciones; Unicidad; Operadores; Sturm-Liouville operator; second-order differential operator equation with constant coefficients},
language = {eng},
number = {2-3},
pages = {213-226},
title = {Explicit solutions for Sturm-Liouville operator problems (II).},
url = {http://eudml.org/doc/38988},
volume = {11},
year = {1987},
}

TY - JOUR
AU - Jódar Sánchez, Lucas
TI - Explicit solutions for Sturm-Liouville operator problems (II).
JO - Stochastica
PY - 1987
VL - 11
IS - 2-3
SP - 213
EP - 226
AB - 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.
LA - eng
KW - Ecuaciones diferenciales; Soluciones; Unicidad; Operadores; Sturm-Liouville operator; second-order differential operator equation with constant coefficients
UR - http://eudml.org/doc/38988
ER -

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