Oscillation Criteria of Solutions of Fourth-Order Neutral Differential Equations

Almutairi, Alanoud; Bazighifan, Omar; Almarri, Barakah; Aiyashi, Mohammed A.; Nonlaopon, Kamsing

doi:10.3390/fractalfract5040155

Fractal Fract

2021

DOI: 10.3390/fractalfract5040155

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Oscillation Criteria of Solutions of Fourth-Order Neutral Differential Equations

Alanoud Almutairi

Omar Bazighifan

Barakah Almarri

et al.

Abstract: In this paper, we study the oscillation of solutions of fourth-order neutral delay differential equations in non-canonical form. By using Riccati transformation, we establish some new oscillation conditions. We provide some examples to examine the applicability of our results.

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Cited by 2 publications

References 29 publications

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Asymptotic Behavior of Solutions of Even-Order Differential Equations with Several Delays

Moaaz

Albalawi

2022

Fractal Fract

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The higher-order delay differential equations are used in the describing of many natural phenomena. This work investigates the asymptotic properties of the class of even-order differential equations with several delays. Our main concern revolves around how to simplify and improve the oscillation parameters of the studied equation. For this, we use an improved approach to obtain new properties of the positive solutions of these equations.

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Asymptotic Behavior of Solutions of Even-Order Differential Equations with Several Delays

Moaaz

Albalawi

2022

Fractal Fract

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Oscillation theorems for fourth-order quasi-linear delay differential equations

Masood

Moaaz

Santra

et al. 2023

MATH

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<abstract><p>In this paper, we deal with the asymptotic and oscillatory behavior of quasi-linear delay differential equations of fourth order. We first find new properties for a class of positive solutions of the studied equation, $ \mathcal{N}_{a} $. As an extension of the approach taken in <sup>[<xref ref-type="bibr" rid="b1">1</xref>]</sup>, we establish a new criterion that guarantees that $ \mathcal{N}_{a} = \emptyset $. Then, we create a new oscillation criterion.</p></abstract>

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Oscillation Criteria of Solutions of Fourth-Order Neutral Differential Equations

Abstract: In this paper, we study the oscillation of solutions of fourth-order neutral delay differential equations in non-canonical form. By using Riccati transformation, we establish some new oscillation conditions. We provide some examples to examine the applicability of our results.

Cited by 2 publications

References 29 publications

Asymptotic Behavior of Solutions of Even-Order Differential Equations with Several Delays

Asymptotic Behavior of Solutions of Even-Order Differential Equations with Several Delays

Oscillation theorems for fourth-order quasi-linear delay differential equations

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