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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Format: | Article |
Language: | English |
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Wiley
2021-01-01
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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 |