Solvability of a Class of N -th Order Linear Focal Problems

Solvability of a Class of N -th Order Linear Focal Problems

This paper presents a recursive method which yields necessary and sufficient conditions for the existence of solutions of a class of n-th order linear focal boundary value problems in the interior of a given interval, in the form of integral inequalities. Some results on the sign of the derivatives...

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Bibliographic Details
Main Authors: Pedro Almenar, Lucas Jodar
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2017-07-01
Series:Mathematical Modelling and Analysis
Subjects:
disfocality
n-th order linear boundary value problem
Green function
cone theory
Lyapunov inequality
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/911
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spelling doaj-5f023dc18d3b45f5b415425bf57262262021-07-02T11:45:55ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102017-07-0122410.3846/13926292.2017.1329757Solvability of a Class of N -th Order Linear Focal ProblemsPedro Almenar0Lucas Jodar1Vodafone Spain, Avda. America 115, 28042 Madrid, SpainInstituto Universitario de Matematica Multidisciplinar, Universitat Politecnica de Valencia Camino de Vera s/n, 46022 Valencia, Spain This paper presents a recursive method which yields necessary and sufficient conditions for the existence of solutions of a class of n-th order linear focal boundary value problems in the interior of a given interval, in the form of integral inequalities. Some results on the sign of the derivatives of the Green functions of n-th order linear focal boundary value problems will also be provided. https://journals.vgtu.lt/index.php/MMA/article/view/911disfocalityn-th order linear boundary value problemGreen functioncone theoryLyapunov inequality
collection DOAJ
language English
format Article
sources DOAJ
author Pedro Almenar
Lucas Jodar
spellingShingle Pedro Almenar
Lucas Jodar
Solvability of a Class of N -th Order Linear Focal Problems
Mathematical Modelling and Analysis
disfocality
n-th order linear boundary value problem
Green function
cone theory
Lyapunov inequality
author_facet Pedro Almenar
Lucas Jodar
author_sort Pedro Almenar
title Solvability of a Class of N -th Order Linear Focal Problems
title_short Solvability of a Class of N -th Order Linear Focal Problems
title_full Solvability of a Class of N -th Order Linear Focal Problems
title_fullStr Solvability of a Class of N -th Order Linear Focal Problems
title_full_unstemmed Solvability of a Class of N -th Order Linear Focal Problems
title_sort solvability of a class of n -th order linear focal problems
publisher Vilnius Gediminas Technical University
series Mathematical Modelling and Analysis
issn 1392-6292
1648-3510
publishDate 2017-07-01
description This paper presents a recursive method which yields necessary and sufficient conditions for the existence of solutions of a class of n-th order linear focal boundary value problems in the interior of a given interval, in the form of integral inequalities. Some results on the sign of the derivatives of the Green functions of n-th order linear focal boundary value problems will also be provided.
topic disfocality
n-th order linear boundary value problem
Green function
cone theory
Lyapunov inequality
url https://journals.vgtu.lt/index.php/MMA/article/view/911
work_keys_str_mv AT pedroalmenar solvabilityofaclassofnthorderlinearfocalproblems
AT lucasjodar solvabilityofaclassofnthorderlinearfocalproblems
_version_ 1721330757692030976

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