Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian

Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian

Abstract The aim of this paper is to investigate the boundary value problem of a fractional q-difference equation with ϕ-Laplacian, where ϕ-Laplacian is a generalized p-Laplacian operator. We obtain the existence and nonexistence of positive solutions in terms of different eigenvalue intervals for t...

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Autores principales: Jufang Wang, Changlong Yu, Boya Zhang, Si Wang
Formato: article
Lenguaje:EN
Publicado: SpringerOpen 2021
Materias:
Fractional q-difference equations
Positive solutions
Boundary value problem
Guo–Krasnoselskii fixed point theorem
Mathematics
QA1-939
Acceso en línea:https://doaj.org/article/e523161cc28c4dda9ce6ba633d797889
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spelling oai:doaj.org-article:e523161cc28c4dda9ce6ba633d7978892021-11-21T12:06:51ZPositive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian10.1186/s13662-021-03652-x1687-1847https://doaj.org/article/e523161cc28c4dda9ce6ba633d7978892021-11-01T00:00:00Zhttps://doi.org/10.1186/s13662-021-03652-xhttps://doaj.org/toc/1687-1847Abstract The aim of this paper is to investigate the boundary value problem of a fractional q-difference equation with ϕ-Laplacian, where ϕ-Laplacian is a generalized p-Laplacian operator. We obtain the existence and nonexistence of positive solutions in terms of different eigenvalue intervals for this problem by means of the Green function and Guo–Krasnoselskii fixed point theorem on cones. Finally, we give some examples to illustrate the use of our results.Jufang WangChanglong YuBoya ZhangSi WangSpringerOpenarticleFractional q-difference equationsPositive solutionsBoundary value problemGuo–Krasnoselskii fixed point theoremMathematicsQA1-939ENAdvances in Difference Equations, Vol 2021, Iss 1, Pp 1-15 (2021)
institution DOAJ
collection DOAJ
language EN
topic Fractional q-difference equations
Positive solutions
Boundary value problem
Guo–Krasnoselskii fixed point theorem
Mathematics
QA1-939
spellingShingle Fractional q-difference equations
Positive solutions
Boundary value problem
Guo–Krasnoselskii fixed point theorem
Mathematics
QA1-939
Jufang Wang
Changlong Yu
Boya Zhang
Si Wang
Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian
description Abstract The aim of this paper is to investigate the boundary value problem of a fractional q-difference equation with ϕ-Laplacian, where ϕ-Laplacian is a generalized p-Laplacian operator. We obtain the existence and nonexistence of positive solutions in terms of different eigenvalue intervals for this problem by means of the Green function and Guo–Krasnoselskii fixed point theorem on cones. Finally, we give some examples to illustrate the use of our results.
format article
author Jufang Wang
Changlong Yu
Boya Zhang
Si Wang
author_facet Jufang Wang
Changlong Yu
Boya Zhang
Si Wang
author_sort Jufang Wang
title Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian
title_short Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian
title_full Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian
title_fullStr Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian
title_full_unstemmed Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian
title_sort positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-laplacian
publisher SpringerOpen
publishDate 2021
url https://doaj.org/article/e523161cc28c4dda9ce6ba633d797889
work_keys_str_mv AT jufangwang positivesolutionsforeigenvalueproblemsoffractionalqdifferenceequationwithphlaplacian
AT changlongyu positivesolutionsforeigenvalueproblemsoffractionalqdifferenceequationwithphlaplacian
AT boyazhang positivesolutionsforeigenvalueproblemsoffractionalqdifferenceequationwithphlaplacian
AT siwang positivesolutionsforeigenvalueproblemsoffractionalqdifferenceequationwithphlaplacian
_version_ 1718419216836591616

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