Interval oscillation criteria for nonlinear impulsive delay differential equations with damping term

Abstract

In this paper, a class of second order nonlinear impulsive delay differential equations with damping term is studied. Three factors-impulse, delay and damping that affect the interval qualitative properties of solutions of equations are taken into account together. Several interval oscillation criteria which generalize some known ones, such as, in Huang and Feng (2010), Xing and Zheng (2008) and Liu and Xu (2007), are established. Moreover, examples are also given to illustrate the effectiveness and non-emptiness of our results.