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

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

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.