Positive solutions of a discrete nonlinear third-order three-point eigenvalue problem with sign-changing Green's function

In this paper, we discuss the existence of positive solutions to a discrete third-order three-point boundary value problem. Here, the weight function a(t)a\left(t) and the Green function G(t,s)G\left(t,s) both change their sign. Despite this, we also obtain several existence results of positive solu...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Cao Xueqin, Gao Chenghua, Duan Duihua
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	third-order difference equation three-point boundary conditions sign-changing green’s function guo-krasnoselskii’s fixed-point theorem positive solutions 39a10 39a12 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/486da526531244699d88d7d7be0267c1
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:486da526531244699d88d7d7be0267c1
record_format	dspace
spelling	oai:doaj.org-article:486da526531244699d88d7d7be0267c12021-12-05T14:10:53ZPositive solutions of a discrete nonlinear third-order three-point eigenvalue problem with sign-changing Green's function2391-545510.1515/math-2021-0085https://doaj.org/article/486da526531244699d88d7d7be0267c12021-09-01T00:00:00Zhttps://doi.org/10.1515/math-2021-0085https://doaj.org/toc/2391-5455In this paper, we discuss the existence of positive solutions to a discrete third-order three-point boundary value problem. Here, the weight function a(t)a\left(t) and the Green function G(t,s)G\left(t,s) both change their sign. Despite this, we also obtain several existence results of positive solutions by using the Guo-Krasnoselskii’s fixed-point theorem in a cone.Cao XueqinGao ChenghuaDuan DuihuaDe Gruyterarticlethird-order difference equationthree-point boundary conditionssign-changing green’s functionguo-krasnoselskii’s fixed-point theorempositive solutions39a1039a12MathematicsQA1-939ENOpen Mathematics, Vol 19, Iss 1, Pp 990-1006 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	third-order difference equation three-point boundary conditions sign-changing green’s function guo-krasnoselskii’s fixed-point theorem positive solutions 39a10 39a12 Mathematics QA1-939
spellingShingle	third-order difference equation three-point boundary conditions sign-changing green’s function guo-krasnoselskii’s fixed-point theorem positive solutions 39a10 39a12 Mathematics QA1-939 Cao Xueqin Gao Chenghua Duan Duihua Positive solutions of a discrete nonlinear third-order three-point eigenvalue problem with sign-changing Green's function
description	In this paper, we discuss the existence of positive solutions to a discrete third-order three-point boundary value problem. Here, the weight function a(t)a\left(t) and the Green function G(t,s)G\left(t,s) both change their sign. Despite this, we also obtain several existence results of positive solutions by using the Guo-Krasnoselskii’s fixed-point theorem in a cone.
format	article
author	Cao Xueqin Gao Chenghua Duan Duihua
author_facet	Cao Xueqin Gao Chenghua Duan Duihua
author_sort	Cao Xueqin
title	Positive solutions of a discrete nonlinear third-order three-point eigenvalue problem with sign-changing Green's function
title_short	Positive solutions of a discrete nonlinear third-order three-point eigenvalue problem with sign-changing Green's function
title_full	Positive solutions of a discrete nonlinear third-order three-point eigenvalue problem with sign-changing Green's function
title_fullStr	Positive solutions of a discrete nonlinear third-order three-point eigenvalue problem with sign-changing Green's function
title_full_unstemmed	Positive solutions of a discrete nonlinear third-order three-point eigenvalue problem with sign-changing Green's function
title_sort	positive solutions of a discrete nonlinear third-order three-point eigenvalue problem with sign-changing green's function
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/486da526531244699d88d7d7be0267c1
work_keys_str_mv	AT caoxueqin positivesolutionsofadiscretenonlinearthirdorderthreepointeigenvalueproblemwithsignchanginggreensfunction AT gaochenghua positivesolutionsofadiscretenonlinearthirdorderthreepointeigenvalueproblemwithsignchanginggreensfunction AT duanduihua positivesolutionsofadiscretenonlinearthirdorderthreepointeigenvalueproblemwithsignchanginggreensfunction
_version_	1718371600953245696

Positive solutions of a discrete nonlinear third-order three-point eigenvalue problem with sign-changing Green's function

Ejemplares similares