Asymptotic Stability of Periodic Solutions for a Nonlinear Neutral First-order Differential Equation with Functional Delay

المؤلفون

  • Amira A. BenFayed المؤلف
  • Abdelhamid S. Elmabrok المؤلف

DOI:

https://doi.org/10.59992/IJSR.2023.v2n12p5

الكلمات المفتاحية:

Contraction Mapping، Stability، Nonlinear Neutral، Differential Equation، Integral Equation

الملخص

This paper is mainly concerned with the asymptotic stability of the zero solution on the eq.(1.1), as follows we have to mutate eq. (1.1) to an integral mapping equation appropriate for the contraction mapping theorems. This article is organized as follows: Section 2 presents the hypotheses to be used in the later sections, it also introduces Lemma 2.1 that converts eq. (1.1) into an essential equation, and Section 3 presents the main results.

 

السير الشخصية للمؤلفين

  • Amira A. BenFayed

    Lecturer, Dept. of Mathematics, Faculty of Education, University of Benghazi, Libya

  • Abdelhamid S. Elmabrok

    Assistant Professor, Dept. of Mathematics, Faculty of Science, University of Benghazi, Libya

المراجع

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[10] A.A.Ben Fayed, R.A .Elmansouri, A.Imhemed, (2023). Stability of Periodic solutions by

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التنزيلات

منشور

2023-12-15

إصدار

القسم

Articles

كيفية الاقتباس

Asymptotic Stability of Periodic Solutions for a Nonlinear Neutral First-order Differential Equation with Functional Delay. (2023). المجلة الدولية للبحوث العلمية, 2(12). https://doi.org/10.59992/IJSR.2023.v2n12p5