期刊论文

中文

山东大学学报(理学版)

1671-9352

2013

48

4

85-90

10.6040/j.issn.1671-9352.0.2012.248

湖南省重点学科建设项目“运筹学与控制论”资助

本校为第一机构

研究了一类含分布时滞与阻尼项的三阶非线性泛函微分方程[r(t)x″(t)]’+p(t)x’(t)+∫_a~bq(t,ξ)f(x(σ(t,ξ)))dξ=0,利用广义Riccati变换和H函数技巧,建立了保证此方程一切解Philos型振动或者收敛到零的若干新的充分条件。

The oscillation of third-order nonlinear neutral functional differential equations with distributed delays and damped terms is studied. By using a generalized Riccati transformation and H-functions technique, some new sufficient conditions which insure that any solution of this equation Philos-type oscillati...