An Oscillation Criterion of Nonlinear Differential Equations with Advanced Term

The aim of the present paper is to provide oscillation conditions for fourth-order damped differential equations with advanced term. By using the Riccati technique, some new oscillation criteria, which ensure that every solution oscillates, are established. In fact, the obtained results extend, unif...

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Main Authors: Omar Bazighifan, Alanoud Almutairi, Barakah Almarri, Marin Marin
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/13/5/843
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author Omar Bazighifan
Alanoud Almutairi
Barakah Almarri
Marin Marin
author_facet Omar Bazighifan
Alanoud Almutairi
Barakah Almarri
Marin Marin
author_sort Omar Bazighifan
collection DOAJ
description The aim of the present paper is to provide oscillation conditions for fourth-order damped differential equations with advanced term. By using the Riccati technique, some new oscillation criteria, which ensure that every solution oscillates, are established. In fact, the obtained results extend, unify and correlate many of the existing results in the literature. Furthermore, two examples with specific parameter values are provided to confirm our results.
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spelling doaj.art-bb1aa1e4af814428ab576f7d75f9b2362023-11-21T19:03:12ZengMDPI AGSymmetry2073-89942021-05-0113584310.3390/sym13050843An Oscillation Criterion of Nonlinear Differential Equations with Advanced TermOmar Bazighifan0Alanoud Almutairi1Barakah Almarri2Marin Marin3Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, YemenDepartment of Mathematics, Faculty of Science, University of Hafr Al Batin, P.O. Box 1803, Hafar Al Batin 31991, Saudi ArabiaMathematical Science Department, Faculty of Science, Princess Nourah Bint Abdulrahman University, Riyadh 11564, Saudi ArabiaDepartment of Mathematics and Computers Science, Transilvania University of Brasov, B-dul Eroilor 29, 500036 Brasov, RomaniaThe aim of the present paper is to provide oscillation conditions for fourth-order damped differential equations with advanced term. By using the Riccati technique, some new oscillation criteria, which ensure that every solution oscillates, are established. In fact, the obtained results extend, unify and correlate many of the existing results in the literature. Furthermore, two examples with specific parameter values are provided to confirm our results.https://www.mdpi.com/2073-8994/13/5/843oscillationfourth-orderdamped differential equations
spellingShingle Omar Bazighifan
Alanoud Almutairi
Barakah Almarri
Marin Marin
An Oscillation Criterion of Nonlinear Differential Equations with Advanced Term
Symmetry
oscillation
fourth-order
damped differential equations
title An Oscillation Criterion of Nonlinear Differential Equations with Advanced Term
title_full An Oscillation Criterion of Nonlinear Differential Equations with Advanced Term
title_fullStr An Oscillation Criterion of Nonlinear Differential Equations with Advanced Term
title_full_unstemmed An Oscillation Criterion of Nonlinear Differential Equations with Advanced Term
title_short An Oscillation Criterion of Nonlinear Differential Equations with Advanced Term
title_sort oscillation criterion of nonlinear differential equations with advanced term
topic oscillation
fourth-order
damped differential equations
url https://www.mdpi.com/2073-8994/13/5/843
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