Positive solutions for nonlocal problems of nonlinear (p,q)- difference equations

In order to improve the basic theory of boundary value problems for nonlinear quantum difference equations,in this paper,we study the solvability of nonlocal problems for second order three-point nonlinear (p,q)-difference equations.Firstly,the Green function of the boundary value problem of linea...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Changlong YU, Huode HAN, Jufang WANG, Houmin XING
Formato:	article
Lenguaje:	ZH
Publicado:	Hebei University of Science and Technology 2021
Materias:	nonlinear functional analysis; nonlinear (p q)-difference equation; nonlocal problem; banach contraction mapping principle; guo-krasnoselskii fixed point theorem; positive solution Technology T
Acceso en línea:	https://doaj.org/article/64a617531b534e1c8d4d88175372e59e
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:64a617531b534e1c8d4d88175372e59e
record_format	dspace
spelling	oai:doaj.org-article:64a617531b534e1c8d4d88175372e59e2021-11-23T07:08:58ZPositive solutions for nonlocal problems of nonlinear (p,q)- difference equations1008-154210.7535/hbkd.2021yx04005https://doaj.org/article/64a617531b534e1c8d4d88175372e59e2021-08-01T00:00:00Zhttp://xuebao.hebust.edu.cn/hbkjdx/ch/reader/create_pdf.aspx?file_no=b202104005&flag=1&journal_https://doaj.org/toc/1008-1542In order to improve the basic theory of boundary value problems for nonlinear quantum difference equations,in this paper,we study the solvability of nonlocal problems for second order three-point nonlinear (p,q)-difference equations.Firstly,the Green function of the boundary value problem of linear (p,q)-difference equation is calculated and the property of Green function is studied.Secondly,we obtain the existence and uniqueness of the positive solution for the problem by the Banach contraction mapping principle and the Guo-Krasnoselskii fixed point theorem in a cone.Next,we get the Lyapunov inequality for nonlocal problems of linear (p,q)-difference equations.Finally,two examples are given to illustrate the validity of the results.The results show that the existence and uniqueness of positive solutions for nonlocal problems of nonlinear (p,q)-difference equations are obtained,under the condition of nonlinear term f certain growth.The research results enrich the theory of solvability of quantum difference equations and provide important theoretical basis for the application of(p,q)-difference equation in mathematics,physics and other fields.Changlong YUHuode HANJufang WANGHoumin XINGHebei University of Science and Technologyarticlenonlinear functional analysis; nonlinear (pq)-difference equation; nonlocal problem; banach contraction mapping principle; guo-krasnoselskii fixed point theorem; positive solutionTechnologyTZHJournal of Hebei University of Science and Technology, Vol 42, Iss 4, Pp 352-359 (2021)
institution	DOAJ
collection	DOAJ
language	ZH
topic	nonlinear functional analysis; nonlinear (p q)-difference equation; nonlocal problem; banach contraction mapping principle; guo-krasnoselskii fixed point theorem; positive solution Technology T
spellingShingle	nonlinear functional analysis; nonlinear (p q)-difference equation; nonlocal problem; banach contraction mapping principle; guo-krasnoselskii fixed point theorem; positive solution Technology T Changlong YU Huode HAN Jufang WANG Houmin XING Positive solutions for nonlocal problems of nonlinear (p,q)- difference equations
description	In order to improve the basic theory of boundary value problems for nonlinear quantum difference equations,in this paper,we study the solvability of nonlocal problems for second order three-point nonlinear (p,q)-difference equations.Firstly,the Green function of the boundary value problem of linear (p,q)-difference equation is calculated and the property of Green function is studied.Secondly,we obtain the existence and uniqueness of the positive solution for the problem by the Banach contraction mapping principle and the Guo-Krasnoselskii fixed point theorem in a cone.Next,we get the Lyapunov inequality for nonlocal problems of linear (p,q)-difference equations.Finally,two examples are given to illustrate the validity of the results.The results show that the existence and uniqueness of positive solutions for nonlocal problems of nonlinear (p,q)-difference equations are obtained,under the condition of nonlinear term f certain growth.The research results enrich the theory of solvability of quantum difference equations and provide important theoretical basis for the application of(p,q)-difference equation in mathematics,physics and other fields.
format	article
author	Changlong YU Huode HAN Jufang WANG Houmin XING
author_facet	Changlong YU Huode HAN Jufang WANG Houmin XING
author_sort	Changlong YU
title	Positive solutions for nonlocal problems of nonlinear (p,q)- difference equations
title_short	Positive solutions for nonlocal problems of nonlinear (p,q)- difference equations
title_full	Positive solutions for nonlocal problems of nonlinear (p,q)- difference equations
title_fullStr	Positive solutions for nonlocal problems of nonlinear (p,q)- difference equations
title_full_unstemmed	Positive solutions for nonlocal problems of nonlinear (p,q)- difference equations
title_sort	positive solutions for nonlocal problems of nonlinear (p,q)- difference equations
publisher	Hebei University of Science and Technology
publishDate	2021
url	https://doaj.org/article/64a617531b534e1c8d4d88175372e59e
work_keys_str_mv	AT changlongyu positivesolutionsfornonlocalproblemsofnonlinearpqdifferenceequations AT huodehan positivesolutionsfornonlocalproblemsofnonlinearpqdifferenceequations AT jufangwang positivesolutionsfornonlocalproblemsofnonlinearpqdifferenceequations AT houminxing positivesolutionsfornonlocalproblemsofnonlinearpqdifferenceequations
_version_	1718416831123816448

Positive solutions for nonlocal problems of nonlinear (p,q)- difference equations

Ejemplares similares