Improving Results on Solvability of a Class of nth-Order Linear Boundary Value Problems
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 nth-order linear boundary value problems, in the form of integral inequalities. Such a modification sim...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2016/3750530 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561443361259520 |
|---|---|
| author | Pedro Almenar Lucas Jódar |
| author_facet | Pedro Almenar Lucas Jódar |
| author_sort | Pedro Almenar |
| collection | DOAJ |
| description | 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 nth-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. |
| format | Article |
| id | doaj-art-9c9443bd40b849c6ba6101e71da901cd |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-9c9443bd40b849c6ba6101e71da901cd2025-02-03T01:25:06ZengWileyInternational Journal of Differential Equations1687-96431687-96512016-01-01201610.1155/2016/37505303750530Improving Results on Solvability of a Class of nth-Order Linear Boundary Value ProblemsPedro Almenar0Lucas Jódar1Vodafone Spain, Avenida América 115, 28042 Madrid, SpainInstituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, SpainThis 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 nth-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.http://dx.doi.org/10.1155/2016/3750530 |
| spellingShingle | Pedro Almenar Lucas Jódar Improving Results on Solvability of a Class of nth-Order Linear Boundary Value Problems International Journal of Differential Equations |
| title | Improving Results on Solvability of a Class of nth-Order Linear Boundary Value Problems |
| title_full | Improving Results on Solvability of a Class of nth-Order Linear Boundary Value Problems |
| title_fullStr | Improving Results on Solvability of a Class of nth-Order Linear Boundary Value Problems |
| title_full_unstemmed | Improving Results on Solvability of a Class of nth-Order Linear Boundary Value Problems |
| title_short | Improving Results on Solvability of a Class of nth-Order Linear Boundary Value Problems |
| title_sort | improving results on solvability of a class of nth order linear boundary value problems |
| url | http://dx.doi.org/10.1155/2016/3750530 |
| work_keys_str_mv | AT pedroalmenar improvingresultsonsolvabilityofaclassofnthorderlinearboundaryvalueproblems AT lucasjodar improvingresultsonsolvabilityofaclassofnthorderlinearboundaryvalueproblems |