Non-conjugate boundary value problem of a third order differential equation

This paper is devoted to prove the existence of the optimal interval where the Green’s function is negative definite. The left and right endpoints of the interval are found. Then, a new principle of comparison of a third-order differential equation is established. As an application of our results, t...

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Main Authors:	Hui Li, Yuqiang Feng, Changchang Bu
Format:	Article
Language:	English
Published:	University of Szeged 2015-03-01
Series:	Electronic Journal of Qualitative Theory of Differential Equations
Subjects:	third-order differential equation non-conjugate boundary condition green’s function principle of comparison upper and lower solutions
Online Access:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=3402

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spelling	doaj-fbd15725781d49f380326aab1e574f532021-07-14T07:21:27ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752015-03-0120152111910.14232/ejqtde.2015.1.213402Non-conjugate boundary value problem of a third order differential equationHui Li0Yuqiang Feng1Changchang Bu2School of Science, Wuhan University of Science and Technology, Wuhan 430065, ChinaSchool of Science, Wuhan University of Science and Technology, Wuhan 430065, ChinaSchool of Science, Wuhan University of Science and Technology, Wuhan 430065, ChinaThis paper is devoted to prove the existence of the optimal interval where the Green’s function is negative definite. The left and right endpoints of the interval are found. Then, a new principle of comparison of a third-order differential equation is established. As an application of our results, the solvability of a non-conjugate boundary value problem is discussed.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=3402third-order differential equationnon-conjugate boundary conditiongreen’s functionprinciple of comparisonupper and lower solutions
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Hui Li Yuqiang Feng Changchang Bu
spellingShingle	Hui Li Yuqiang Feng Changchang Bu Non-conjugate boundary value problem of a third order differential equation Electronic Journal of Qualitative Theory of Differential Equations third-order differential equation non-conjugate boundary condition green’s function principle of comparison upper and lower solutions
author_facet	Hui Li Yuqiang Feng Changchang Bu
author_sort	Hui Li
title	Non-conjugate boundary value problem of a third order differential equation
title_short	Non-conjugate boundary value problem of a third order differential equation
title_full	Non-conjugate boundary value problem of a third order differential equation
title_fullStr	Non-conjugate boundary value problem of a third order differential equation
title_full_unstemmed	Non-conjugate boundary value problem of a third order differential equation
title_sort	non-conjugate boundary value problem of a third order differential equation
publisher	University of Szeged
series	Electronic Journal of Qualitative Theory of Differential Equations
issn	1417-3875 1417-3875
publishDate	2015-03-01
description	This paper is devoted to prove the existence of the optimal interval where the Green’s function is negative definite. The left and right endpoints of the interval are found. Then, a new principle of comparison of a third-order differential equation is established. As an application of our results, the solvability of a non-conjugate boundary value problem is discussed.
topic	third-order differential equation non-conjugate boundary condition green’s function principle of comparison upper and lower solutions
url	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=3402
work_keys_str_mv	AT huili nonconjugateboundaryvalueproblemofathirdorderdifferentialequation AT yuqiangfeng nonconjugateboundaryvalueproblemofathirdorderdifferentialequation AT changchangbu nonconjugateboundaryvalueproblemofathirdorderdifferentialequation
_version_	1721303658295984128

Non-conjugate boundary value problem of a third order differential equation

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