Oscillation and nonoscillation for second order linear impulsive differential equations

[摘要] We study the oscillation and nonoscillation for the second order linear impulsive differential equation u '' = -p(t)u, where p(t) is an impulsive function defined by p(t) = Sigma(n=1)(infinity)a(n) delta(t - t(n)), and we establish a necessary and sufficient condition for oscillation (or nonoscillation) of the equation u '' =-p(t)u. We give some sufficient conditions for the oscillation and nonoscillation in two particular cases. (C) 1997 Academic Press.

[发布日期] 1997-10-15