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449 results on '"Bazighifan, Omar"'

7. On the oscillation of nonlinear delay differential equations and their applications

Author

Bazighifan Omar and Askar Sameh

Subjects
riccati method, advanced term, oscillation, fourth-order, delay differential equations, damped, Physics, QC1-999
Abstract

The oscillation of nonlinear differential equations is used in many applications of mathematical physics, biological and medical physics, engineering, aviation, complex networks, sociophysics and econophysics. The goal of this study is to create some new oscillation criteria for fourth-order differential equations with delay and advanced terms (a1(x)(w‴(x))n)′+∑j=1rβj(x)wk(γj(x))=0,{({a}_{1}(x){({w}^{\prime\prime\prime }(x))}^{n})}^{^{\prime} }+\mathop{\sum }\limits_{j=1}^{r}{\beta }_{j}(x){w}^{k}({\gamma }_{j}(x))=0, and (a1(x)(w‴(x))n)′+a2(x)h(w‴(x))+β(x)f(w(γ(x)))=0.{({a}_{1}(x){({w}^{\prime\prime\prime }(x))}^{n})}^{^{\prime} }+{a}_{2}(x)h({w}^{\prime\prime\prime }(x))+\beta (x)f(w(\gamma (x)))=0. The method is based on the use of the comparison technique and Riccati method to obtain these criteria. These conditions complement and extend some of the results published on this topic. Two examples are provided to prove the efficiency of the main results.

Published
2021
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15. A new modification of an iterative method based on inverse polynomial for solving Cauchy problems.

Author

Ali, Ali Hasan, Alabdali, Osama, Yaseen, Mustafa T., Al-Kandari, Maryam, and Bazighifan, Omar

Subjects
PROBLEM solving, INITIAL value problems, POLYNOMIALS
Abstract

This paper introduces a new modification to an iterative method for solving Cauchy problems (IVPs) based on an inverse polynomial technique. The proposed method is proven to be consistent, stable, and convergent. We also demonstrate the consistency property of the One-stage scheme and the Two-stage scheme, as well as the stability property of the proposed method. To validate the accuracy of our approach, we conduct several numerical experiments and present the results graphically. Our findings show that the proposed method outperforms existing approaches in terms of accuracy and efficiency. Additionally, we discuss the implications of our results for future research in this field. Overall, this paper provides a valuable contribution to the numerical solution of IVPs and lays the groundwork for further exploration in this area. [ABSTRACT FROM AUTHOR]

Published
2023
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30. Global Classical Solutions of the 1.5D Relativistic Vlasov–Maxwell–Chern–Simons System.

Author

Chen, Jing, Bazighifan, Omar, Luo, Chengjun, and Song, Yanlai

Subjects
*VLASOV equation, *ELECTROMAGNETIC fields, *KLEIN-Gordon equation
Abstract

We investigate the kinetic model of the relativistic Vlasov–Maxwell–Chern–Simons system, which originates from gauge theory. This system can be seen as an electromagnetic fields (i.e., Maxwell–Chern–Simons fields) perturbation for the classical Vlasov equation. By virtue of a nondecreasing function and an iteration method, the uniqueness and existence of the global solutions for the 1.5D case are obtained. [ABSTRACT FROM AUTHOR]

Published
2023
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31. Second-Order Neutral Differential Equations with Distributed Deviating Arguments: Oscillatory Behavior.

Author

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

Subjects
DIFFERENTIAL equations, FUNCTIONAL differential equations, DELAY differential equations, ARGUMENT
Abstract

In this paper, new criteria for a class oscillation of second-order delay differential equations with distributed deviating arguments were established. Our method mainly depends on making sharper estimates for the non-oscillatory solutions of the studied equation. By using the Ricati technique and comparison theorems that compare the studied equations with first-order delay differential equations, we obtained new and less restrictive conditions that ensure the oscillation of all solutions of the studied equation. Further, we give an illustrative example. [ABSTRACT FROM AUTHOR]

Published
2023
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