Multiple Techniques for Studying Asymptotic Properties of a Class of Differential Equations with Variable Coefficients

This manuscript is concerned with the oscillatory properties of 4th-order differential equations with variable coefficients. The main aim of this paper is the combination of the following three techniques used: the comparison method, Riccati technique and integral averaging technique. Two examples a...

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Main Authors: Omar Bazighifan, Mihai Postolache
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/7/1112
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author Omar Bazighifan
Mihai Postolache
author_facet Omar Bazighifan
Mihai Postolache
author_sort Omar Bazighifan
collection DOAJ
description This manuscript is concerned with the oscillatory properties of 4th-order differential equations with variable coefficients. The main aim of this paper is the combination of the following three techniques used: the comparison method, Riccati technique and integral averaging technique. Two examples are given for applying the criteria.
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spelling doaj.art-1c82692845dc4050babf2e77c47f10102023-11-20T05:45:46ZengMDPI AGSymmetry2073-89942020-07-01127111210.3390/sym12071112Multiple Techniques for Studying Asymptotic Properties of a Class of Differential Equations with Variable CoefficientsOmar Bazighifan0Mihai Postolache1Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, YemenCenter for General Education, China Medical University, Taichung 40402, TaiwanThis manuscript is concerned with the oscillatory properties of 4th-order differential equations with variable coefficients. The main aim of this paper is the combination of the following three techniques used: the comparison method, Riccati technique and integral averaging technique. Two examples are given for applying the criteria.https://www.mdpi.com/2073-8994/12/7/1112delay differential equationsoscillationfourth-order
spellingShingle Omar Bazighifan
Mihai Postolache
Multiple Techniques for Studying Asymptotic Properties of a Class of Differential Equations with Variable Coefficients
Symmetry
delay differential equations
oscillation
fourth-order
title Multiple Techniques for Studying Asymptotic Properties of a Class of Differential Equations with Variable Coefficients
title_full Multiple Techniques for Studying Asymptotic Properties of a Class of Differential Equations with Variable Coefficients
title_fullStr Multiple Techniques for Studying Asymptotic Properties of a Class of Differential Equations with Variable Coefficients
title_full_unstemmed Multiple Techniques for Studying Asymptotic Properties of a Class of Differential Equations with Variable Coefficients
title_short Multiple Techniques for Studying Asymptotic Properties of a Class of Differential Equations with Variable Coefficients
title_sort multiple techniques for studying asymptotic properties of a class of differential equations with variable coefficients
topic delay differential equations
oscillation
fourth-order
url https://www.mdpi.com/2073-8994/12/7/1112
work_keys_str_mv AT omarbazighifan multipletechniquesforstudyingasymptoticpropertiesofaclassofdifferentialequationswithvariablecoefficients
AT mihaipostolache multipletechniquesforstudyingasymptoticpropertiesofaclassofdifferentialequationswithvariablecoefficients