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الصفحة الرئيسية » الإصدار 2، العدد 12 ـــــ ديسمبر 2023 ـــــ Vol. 2, No. 12 » Asymptotic Stability of Periodic Solutions for a Nonlinear Neutral First-order Differential Equation with Functional Delay

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

Authors

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

[email protected]

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

[email protected]

Abstract

We consider the nonlinear neutral differential equation:

and use the contraction mapping principle to show the asymptotic stability of the zero solution provided that 𝑄(𝑡, 0) = 𝑓(0) = 0.