Explicit solutions for non homogeneous Sturm-Liouville operators problems.

Lucas Jódar Sánchez

Publicacions Matemàtiques (1989)

  • Volume: 33, Issue: 1, page 47-57
  • ISSN: 0214-1493

Abstract

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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.

How to cite

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Jódar Sánchez, Lucas. "Explicit solutions for non homogeneous Sturm-Liouville operators problems.." Publicacions Matemàtiques 33.1 (1989): 47-57. <http://eudml.org/doc/41066>.

@article{JódarSánchez1989,
abstract = {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.},
author = {Jódar Sánchez, Lucas},
journal = {Publicacions Matemàtiques},
keywords = {Ecuaciones diferenciales ordinarias; Espacios de Hilbert; Operadores lineales; Soluciones; existence and uniqueness conditions for the solutions of Sturm-Liouville operator problems; operator differential equation},
language = {eng},
number = {1},
pages = {47-57},
title = {Explicit solutions for non homogeneous Sturm-Liouville operators problems.},
url = {http://eudml.org/doc/41066},
volume = {33},
year = {1989},
}

TY - JOUR
AU - Jódar Sánchez, Lucas
TI - Explicit solutions for non homogeneous Sturm-Liouville operators problems.
JO - Publicacions Matemàtiques
PY - 1989
VL - 33
IS - 1
SP - 47
EP - 57
AB - 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.
LA - eng
KW - Ecuaciones diferenciales ordinarias; Espacios de Hilbert; Operadores lineales; Soluciones; existence and uniqueness conditions for the solutions of Sturm-Liouville operator problems; operator differential equation
UR - http://eudml.org/doc/41066
ER -

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