Matrix measure and asymptotic behaviors of linear advanced systems of differential equations

Asymptotic Behavior of Solutions in Nonlinear Neutral System with Two Volterra Terms

“…Many researchers studied the existence of solutions and asymptotic behavior of these equations; for example, in [9][10][11][12], the authors considered the exponential stability of continuous, discrete, and stochastic differential equations. In [13][14][15][16][17][18][19], the authors dealt with the existence and stability of one or n-dimensional equations.…”

Dichotomy Condition and Periodic Solutions for Two Nonlinear Neutral Systems

“…In recent years, several investigators have tried the stability and existence of periodic solutions by using the technique of fixed point, in particular Burton, Furumochi, Zhang, and others (see [5][6][7][8][9][10][11][12][13]). By Krasnoselskii's fixed point theorem, Luo et al [14] investigate the existence of positive periodic solutions for two neutral functional differential equations…”