On the Oscillation Criteria for Fourth-Order p-Laplacian Differential Equations with Middle Term

In this paper, we study the oscillatory properties of the solutions of a class of fourth-order p-Laplacian differential equations with middle term. The new oscillation criteria obtained by using the theory of comparison with first- and second-order differential equations and a refinement of the Ricc...

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Main Authors: Dandan Yang, Chuanzhi Bai
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/5597947
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author Dandan Yang
Chuanzhi Bai
author_facet Dandan Yang
Chuanzhi Bai
author_sort Dandan Yang
collection DOAJ
description In this paper, we study the oscillatory properties of the solutions of a class of fourth-order p-Laplacian differential equations with middle term. The new oscillation criteria obtained by using the theory of comparison with first- and second-order differential equations and a refinement of the Riccati transformations. The results in this paper improve and generalize the corresponding results in the literatures. Three examples are provided to illustrate our results.
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publishDate 2021-01-01
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series Journal of Function Spaces
spelling doaj-art-6b867e54e2ce458aa4d855e5fc72b0ca2025-02-03T01:20:44ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55979475597947On the Oscillation Criteria for Fourth-Order p-Laplacian Differential Equations with Middle TermDandan Yang0Chuanzhi Bai1Department of Mathematics, Huaiyin Normal University, Huaian, Jiangsu 223300, ChinaDepartment of Mathematics, Huaiyin Normal University, Huaian, Jiangsu 223300, ChinaIn this paper, we study the oscillatory properties of the solutions of a class of fourth-order p-Laplacian differential equations with middle term. The new oscillation criteria obtained by using the theory of comparison with first- and second-order differential equations and a refinement of the Riccati transformations. The results in this paper improve and generalize the corresponding results in the literatures. Three examples are provided to illustrate our results.http://dx.doi.org/10.1155/2021/5597947
spellingShingle Dandan Yang
Chuanzhi Bai
On the Oscillation Criteria for Fourth-Order p-Laplacian Differential Equations with Middle Term
Journal of Function Spaces
title On the Oscillation Criteria for Fourth-Order p-Laplacian Differential Equations with Middle Term
title_full On the Oscillation Criteria for Fourth-Order p-Laplacian Differential Equations with Middle Term
title_fullStr On the Oscillation Criteria for Fourth-Order p-Laplacian Differential Equations with Middle Term
title_full_unstemmed On the Oscillation Criteria for Fourth-Order p-Laplacian Differential Equations with Middle Term
title_short On the Oscillation Criteria for Fourth-Order p-Laplacian Differential Equations with Middle Term
title_sort on the oscillation criteria for fourth order p laplacian differential equations with middle term
url http://dx.doi.org/10.1155/2021/5597947
work_keys_str_mv AT dandanyang ontheoscillationcriteriaforfourthorderplaplaciandifferentialequationswithmiddleterm
AT chuanzhibai ontheoscillationcriteriaforfourthorderplaplaciandifferentialequationswithmiddleterm