【摘要】 研究三阶中立型时滞微分方程(r(t)[x(t)+p(t)x(σ(t))]″)′+q(t)f(x(t),x[q(t)])h(x′(t))=0的振动性和渐进性.给出了方程一切解振动或者渐近趋向于零的若干充分条件.更多还原

【Abstract】 The third order neutral delay differential equations (r(t)[x(t)+p(t)x(σ(t))]″)′+ q(t)f(x(t),x[g(t)])h(x′(t)) = 0 is studied for its oscillatory and asymptotic nature.Some sufficient conditions have been found to ensure that all solutions are either oscillatory or they approach zero as t→∞.These results extend the oscillation criteria given by Rogovchenko,Xia and Xu.更多还原