Periodic solutions for a kind of second order neutral functional differential equations

Antiperiodic Solutions for a Generalized High-Order(p,q)-Laplacian Neutral Differential System with Delays in the Critical Case

“…We can see [1][2][3][4][5][6][7]. For example, the authors of [8][9][10][11] investigated the existence of periodic solutions for the following types of neutral functional differential equations:…”

“…Before continuing, by applying Mawhin's continuation theorem of coincidence degree theory, the authors of[29] studied the existence of periodic solutions for a fourth-order -Laplacian equation with a deviating argument ( ( ( ))) + ( ( )) + ( ( − ( ))) = ( ) (9). …”

Existence and Lyapunov Stability of Periodic Solutions for Generalized Higher-Order Neutral Differential Equations

“…In recent years, there is a good amount of work on periodic solutions for neutral differential equations see [1][2][3][4][5][6][7][8][9][10][11] and by using topological degree theory and some analysis skills, existence results of periodic solutions for 1.2 have been presented. In general, 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.…”