Second-Order Neutral Differential Equations with Distributed Deviating Arguments: Oscillatory Behavior

Al-Jaser, Asma; Qaraad, Belgees; Bazighifan, Omar; Iambor, Loredana Florentina

doi:10.3390/math11122605

Cited by 4 publications

(1 citation statement)

References 23 publications

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“…In recent times, there has been a growing interest in the theory of oscillation in functional differential equations (FDEs) due to their numerous applications in various fields of science. As a result, we recommend that readers refer to [1][2][3][4][5][6][7][8][9][10][11] to learn about the various contributions to the study of oscillatory and non-oscillatory behaviour of DEs with different orders.…”

Section: Introductionmentioning

confidence: 99%

Neutral Differential Equations of Higher-Order in Canonical Form: Oscillation Criteria

2023

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This paper aims to study a class of neutral differential equations of higher-order in canonical form. By using the comparison technique, we obtain sufficient conditions to ensure that the studied differential equations are oscillatory. The criteria that we obtained are to improve and extend some of the results in previous literature. In addition, an example is given that shows the applicability of the results we obtained.

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Section: Introductionmentioning

confidence: 99%

Neutral Differential Equations of Higher-Order in Canonical Form: Oscillation Criteria

2023

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More Effective Criteria for Testing the Oscillation of Solutions of Third-Order Differential Equations

Omar,

Serra-Capizzano,

Qaraad

et al. 2024

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In the current paper, we aim to study the oscillatory behavior of a new class of third-order differential equations. In the present study, we are interested in a better understanding of the relationships between the solutions and their derivatives. The recursive nature of these relationships enables us to obtain new criteria that ensure the oscillation of all solutions of the studied equation. In comparison with previous studies, our results are more general and include models in a wider range of applications. Furthermore, our findings are also significant because no additional restrictive conditions are required. The presented examples illustrate the significance of the results.

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Oscillation of Third-Order Differential Equations with Advanced Arguments

Aldiaiji,

Qaraad,

Iambor

et al. 2023

Mathematics

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The main objective of this work was to study some oscillatory and asymptotic properties of a new class of advanced neutral differential equations. Using new relations to link the solution and its corresponding function, we introduced new oscillatory criteria that aim to enhance, simplify, and complement some of current results. We provide some examples to demonstrate the significance of our results.

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Second-Order Neutral Differential Equations with Distributed Deviating Arguments: Oscillatory Behavior

Cited by 4 publications

References 23 publications

Neutral Differential Equations of Higher-Order in Canonical Form: Oscillation Criteria

Neutral Differential Equations of Higher-Order in Canonical Form: Oscillation Criteria

More Effective Criteria for Testing the Oscillation of Solutions of Third-Order Differential Equations

Oscillation of Third-Order Differential Equations with Advanced Arguments

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