Iterative Solutions for the Differential Equation with p-Laplacian on Infinite Interval

This paper systematically investigates a class of fourth-order differential equation with p-Laplacian on infinite interval in Banach space. By means of the monotone iterative technique, we establish not only the existence of positive solutions but also iterative schemes under the suitable conditions...

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Main Authors: Guoying Zhao, Ying Wang
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/8765932
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author Guoying Zhao
Ying Wang
author_facet Guoying Zhao
Ying Wang
author_sort Guoying Zhao
collection DOAJ
description This paper systematically investigates a class of fourth-order differential equation with p-Laplacian on infinite interval in Banach space. By means of the monotone iterative technique, we establish not only the existence of positive solutions but also iterative schemes under the suitable conditions. At last, we give an example to demonstrate the application of the main result.
format Article
id doaj-art-26c519fd564249528658fdb474388931
institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-26c519fd564249528658fdb4743889312025-02-03T07:24:25ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/87659328765932Iterative Solutions for the Differential Equation with p-Laplacian on Infinite IntervalGuoying Zhao0Ying Wang1School of Logistics, Linyi University, Linyi, 276000 Shandong, ChinaSchool of Mathematics and Statistics, Linyi University, Linyi, 276000 Shandong, ChinaThis paper systematically investigates a class of fourth-order differential equation with p-Laplacian on infinite interval in Banach space. By means of the monotone iterative technique, we establish not only the existence of positive solutions but also iterative schemes under the suitable conditions. At last, we give an example to demonstrate the application of the main result.http://dx.doi.org/10.1155/2021/8765932
spellingShingle Guoying Zhao
Ying Wang
Iterative Solutions for the Differential Equation with p-Laplacian on Infinite Interval
Journal of Function Spaces
title Iterative Solutions for the Differential Equation with p-Laplacian on Infinite Interval
title_full Iterative Solutions for the Differential Equation with p-Laplacian on Infinite Interval
title_fullStr Iterative Solutions for the Differential Equation with p-Laplacian on Infinite Interval
title_full_unstemmed Iterative Solutions for the Differential Equation with p-Laplacian on Infinite Interval
title_short Iterative Solutions for the Differential Equation with p-Laplacian on Infinite Interval
title_sort iterative solutions for the differential equation with p laplacian on infinite interval
url http://dx.doi.org/10.1155/2021/8765932
work_keys_str_mv AT guoyingzhao iterativesolutionsforthedifferentialequationwithplaplacianoninfiniteinterval
AT yingwang iterativesolutionsforthedifferentialequationwithplaplacianoninfiniteinterval