Periodic Solutions of Neutral Nonlinear Systems of Differential Equations with Functional Delay
Journal of Mathematical Analysis and Applications
We study the existence of periodic solutions of the nonlinear neutral system of differential equations of the form
In the process we use the fundamental matrix solution of
and convert the given neutral differential equation into an equivalent integral equation. Then we construct appropriate mappings and employ Krasnoselskii's fixed point theorem to show the existence of a periodic solution of this neutral differential equation. We also use the contraction mapping principle to show the existence of a unique periodic solution of the equation.
Copyright © 2007, Elsevier
Place of Publication
Islam, Muhammad and Raffoul, Youssef, "Periodic Solutions of Neutral Nonlinear Systems of Differential Equations with Functional Delay" (2007). Mathematics Faculty Publications. 59.