Explicit solutions for boundary value problems related to the operator equations X ( 2 ) - A X = 0

Lucas Jódar; Enrique A. Navarro

Applications of Mathematics (1991)

  • Volume: 36, Issue: 6, page 409-416
  • ISSN: 0862-7940

Abstract

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Cauchy problem, boundary value problems with a boundary value condition and Sturm-Liouville problems related to the operator differential equation X ( 2 ) - A X = 0 are studied for the general case, even when the algebraic equation X 2 - A = 0 is unsolvable. Explicit expressions for the solutions in terms of data problem are given and computable expressions of the solutions for the finite-dimensional case are made available.

How to cite

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Jódar, Lucas, and Navarro, Enrique A.. "Explicit solutions for boundary value problems related to the operator equations $X^{(2)}-AX=0$." Applications of Mathematics 36.6 (1991): 409-416. <http://eudml.org/doc/15689>.

@article{Jódar1991,
abstract = {Cauchy problem, boundary value problems with a boundary value condition and Sturm-Liouville problems related to the operator differential equation $X^\{(2)\}-AX=0$ are studied for the general case, even when the algebraic equation $X^2-A=0$ is unsolvable. Explicit expressions for the solutions in terms of data problem are given and computable expressions of the solutions for the finite-dimensional case are made available.},
author = {Jódar, Lucas, Navarro, Enrique A.},
journal = {Applications of Mathematics},
keywords = {Sturm-Liouville; operator differential equation; operator algebraic equation; Cauchy problems; boundary value problems; Cauchy problems; boundary value problems; operator differential equation},
language = {eng},
number = {6},
pages = {409-416},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Explicit solutions for boundary value problems related to the operator equations $X^\{(2)\}-AX=0$},
url = {http://eudml.org/doc/15689},
volume = {36},
year = {1991},
}

TY - JOUR
AU - Jódar, Lucas
AU - Navarro, Enrique A.
TI - Explicit solutions for boundary value problems related to the operator equations $X^{(2)}-AX=0$
JO - Applications of Mathematics
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 36
IS - 6
SP - 409
EP - 416
AB - Cauchy problem, boundary value problems with a boundary value condition and Sturm-Liouville problems related to the operator differential equation $X^{(2)}-AX=0$ are studied for the general case, even when the algebraic equation $X^2-A=0$ is unsolvable. Explicit expressions for the solutions in terms of data problem are given and computable expressions of the solutions for the finite-dimensional case are made available.
LA - eng
KW - Sturm-Liouville; operator differential equation; operator algebraic equation; Cauchy problems; boundary value problems; Cauchy problems; boundary value problems; operator differential equation
UR - http://eudml.org/doc/15689
ER -

References

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