Asymptotic and Oscillatory Analysis of Second-Order Differential Equations with Distributed Deviating Arguments

This paper focuses on studying the oscillatory properties of a distinctive class of second-order advanced differential equations with distributed deviating arguments in a noncanonical case. Utilizing the Riccati method and the comparison method with first-order equations, in addition to other analytical methods, we have established criteria to test whether the solutions of the studied equation exhibit oscillatory behavior. To verify the validity of the results we obtained and determine their applicability, we present some examples to confirm the strength and accuracy of our proposed criteria.

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Publication Details

Journal
Mathematics
Published
2024-11-13
DOI
https://doi.org/10.3390/math12223542
Citations
4
Primary Topic
Advanced Mathematical Modeling in Engineering
Type
article
Field-Weighted Citation Impact
1.45
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article

Asymptotic and Oscillatory Analysis of Second-Order Differential Equations with Distributed Deviating Arguments

Higinio Ramos, Belgees Qaraad, Zuhur Alqahtani, Areej Almuneef
4 citations
Mathematics
Advanced Mathematical Modeling in Engineering
1.45
article

Asymptotic and Oscillatory Analysis of Second-Order Differential Equations with Distributed Deviating Arguments

Higinio Ramos, Belgees Qaraad, Zuhur Alqahtani, Areej Almuneef
article en
4 citations

Abstract

This paper focuses on studying the oscillatory properties of a distinctive class of second-order advanced differential equations with distributed deviating arguments in a noncanonical case. Utilizing the Riccati method and the comparison method with first-order equations, in addition to other analytical methods, we have established criteria to test whether the solutions of the studied equation exhibit oscillatory behavior. To verify the validity of the results we obtained and determine their applicability, we present some examples to confirm the strength and accuracy of our proposed criteria.

MathematicsVol. 12(22)
Princess Nourah bint Abdulrahman University (SA), Mansoura University (EG), Universidad de Salamanca (ES), Hospital Virgen de la Concha (ES)
Openalex Percentile: Top 15%
Advanced Mathematical Modeling in Engineering
1.45
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