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一类三阶非线性时滞微分方程的振动

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摘要 考虑一类三阶非线性时滞微分方程(r2(t)r1(t)φ(x(t))x′(t))′)′+p(t)x′(t)+q(t)f(x(σ(t)))=0,t≥t0.通过构造适当的Riccati变换,并利用积分平均方法及完全平方技术,我们分别得到当p′(t)〉0与p′(t)≤0时,方程的解振动或收敛于零的一些新的充分条件,推广和改进了文献[5]中的定理.
作者 王艳梅
出处 《数学学习与研究》 2011年第11期104-105,共2页
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