Almenar, P.; Jódar Sánchez, LA. (2016). Improving Results on Solvability of a Class of nth-Order Linear Boundary Value Problems. International Journal of Differential Equations. doi:10.1155/2016/3750530
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/80138
Title:
|
Improving Results on Solvability of a Class of nth-Order Linear Boundary Value Problems
|
Author:
|
Almenar, Pedro
Jódar Sánchez, Lucas Antonio
|
UPV Unit:
|
Universitat Politècnica de València. Facultad de Administración y Dirección de Empresas - Facultat d'Administració i Direcció d'Empreses
|
Issued date:
|
|
Abstract:
|
[EN] This paper presents a modification of a recursive method described in a previous paper of the authors, which yields necessary and
sufficient conditions for the existence of solutions of a class of 𝑛�th-order linear ...[+]
[EN] This paper presents a modification of a recursive method described in a previous paper of the authors, which yields necessary and
sufficient conditions for the existence of solutions of a class of 𝑛�th-order linear boundary value problems, in the form of integral
inequalities. Such a modification simplifies the assessment of the conditions on restricting the inequality to be verified to a single
point instead of the full interval where the boundary value problem is defined. The paper also provides an error bound that needs
to be considered in the integral inequalities of the previous paper when they are calculated numerically
[-]
|
Subjects:
|
Focal points
,
Comparison theorems
,
Differential equations
,
Positive solutions
|
Copyrigths:
|
Reconocimiento (by)
|
Source:
|
International Journal of Differential Equations. (issn:
1687-9643
) (eissn:
1687-9651
)
|
DOI:
|
10.1155/2016/3750530
|
Publisher:
|
Hindawi Publishing Corporation
|
Publisher version:
|
http://dx.doi.org/10.1155/2016/3750530
|
Project ID:
|
MINECO/MTM2013-41765-P
|
Description:
|
Copyright © 2016 P. Almenar and L. Jodar. This is an open access article distributed under the Creative Commons Attribution ´
License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly
cited.
|
Thanks:
|
This work has been supported by the Spanish Ministerio de Economia y Competitividad Grant MTM2013-41765-P.
|
Type:
|
Artículo
|