【摘要】 研究三阶中立型分布时滞微分方程(r(t)[x(t)+p(t)x(r(t))]″)′+∫_a~b q(t,ξ)f(x[g(t,ξ)])dσ(ξ)=0的振动性.利用广义Riccati变换和积分平均技巧,建立了保证此方程一切解振动或者收敛到零的若干新的充分条件.更多还原

【Abstract】 The purpose of this paper is to study the oscillation of third order neutral differential equations with distributed delays of the form (r(t)[x(t)+p(t)x(r(t))]″)′+∫_a~b q(t,ξ)f(x[g(t,ξ)])dσ(ξ)=0 By using a generalized Riccati transformation and integral averaging technique,we establish some new sufficient conditions which insure that any solution of this equation oscillates or converges to zero.更多还原