Oscillation and nonoscillation properties for a kind of nonlinear neutral impulsive delay differential systems

Abstract

This paper is concerned with oscillation and nonoscillation of a kind of nonlinear neutral impulsive differential systems with constant coefficients and constant delays by using the pulsatile constant. The sufficient and necessary conditions for oscillation in the case δ ∈ R\{0} are obtained. Two examples are included using the main results.