Co-solutions of algebraic matrix equations and higher order singular regular boundary value problems

Lucas Jódar; Enrique A. Navarro

Applications of Mathematics (1994)

  • Volume: 39, Issue: 3, page 189-202
  • ISSN: 0862-7940

Abstract

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In this paper we obtain existence conditions and a closed form of the general solution of higher order singular regular boundary value problems. The approach is based on the concept of co-solution of algebraic matrix equations of polynomial type that permits the treatment of the problem without considering an extended first order system as it has been done in the known literature.

How to cite

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Jódar, Lucas, and Navarro, Enrique A.. "Co-solutions of algebraic matrix equations and higher order singular regular boundary value problems." Applications of Mathematics 39.3 (1994): 189-202. <http://eudml.org/doc/32878>.

@article{Jódar1994,
abstract = {In this paper we obtain existence conditions and a closed form of the general solution of higher order singular regular boundary value problems. The approach is based on the concept of co-solution of algebraic matrix equations of polynomial type that permits the treatment of the problem without considering an extended first order system as it has been done in the known literature.},
author = {Jódar, Lucas, Navarro, Enrique A.},
journal = {Applications of Mathematics},
keywords = {algebraic matrix equation; co-solution; singular regular system; boundary value problem; Drazin inverse; closed form solution; closed form expression; multi-point boundary values; co-solution of algebraic matrix equations},
language = {eng},
number = {3},
pages = {189-202},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Co-solutions of algebraic matrix equations and higher order singular regular boundary value problems},
url = {http://eudml.org/doc/32878},
volume = {39},
year = {1994},
}

TY - JOUR
AU - Jódar, Lucas
AU - Navarro, Enrique A.
TI - Co-solutions of algebraic matrix equations and higher order singular regular boundary value problems
JO - Applications of Mathematics
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 39
IS - 3
SP - 189
EP - 202
AB - In this paper we obtain existence conditions and a closed form of the general solution of higher order singular regular boundary value problems. The approach is based on the concept of co-solution of algebraic matrix equations of polynomial type that permits the treatment of the problem without considering an extended first order system as it has been done in the known literature.
LA - eng
KW - algebraic matrix equation; co-solution; singular regular system; boundary value problem; Drazin inverse; closed form solution; closed form expression; multi-point boundary values; co-solution of algebraic matrix equations
UR - http://eudml.org/doc/32878
ER -

References

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