期刊论文

中文

数学的实践与认识

1000-0984

2010

40

13

223-227

湖南省教育厅科研计划项目

本校为第一机构

研究了一类含有连续分布时滞和阻尼项的二阶半线性微分方程 (r(t)|x'(t)~(α-1)-x'(t))'+p(t)|x'(t)|~(α-1)x'(t)+ ~m∑_i=1∫~b_αqi(t,τ))|(α-1)x(σ(t，τ)))dm(τ)=0,(t < T)运用Riccati变换和H函数方法，获得了该方程解的振动性的若干充分条件．

This paper studies oscillation for the solutions of second order half-linear differential equation with continuous distributed delay arguments and damping terms. By using Riccati transformation and methods of H function, some new sufficient conditions for the oscillation of eac...