Abstract
Existence and Lyapunov stability of periodic solutions for a generalized higher-order neutral differential equation are established.
Highlights
In recent years, there is a good amount of work on periodic solutions for neutral differential equations see 1–11 and the references cited therein
−r have been studied in 1, 3, 8, respectively, and existence criteria of periodic solutions were established for these equations
Most of the existing results are concentrated on lower-order neutral functional differential equations, while studies on higher-order neutral functional differential equations are rather infrequent, especially on higher-order p-Laplacian neutral functional differential equations
Summary
There is a good amount of work on periodic solutions for neutral differential equations see 1–11 and the references cited therein. −r have been studied in 1, 3, 8 , respectively, and existence criteria of periodic solutions were established for these equations. We consider the following generalized higher-order neutral functional differential equation: φp x t − cx t − σ l n−l F t, x t , x t , .
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