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二阶非线性中立型微分方程的振动性
Oscillation of Second Order Nonlinear Neutral Differential Equations
【摘要】 考虑二阶中立型时滞微分方程(r(t)Φ(x(t))[x(t)+p(t)x(τ(t))]′+F(t,x(t),x(σ(t)),x′(t),x′(σ(t)))=0利用广义Riccati变换得到了方程所有解振动的充分条件.
【Abstract】 Consider the second order nonlinear neutral differential equation(r(t)Φ(x(t))[x(t)+p(t)x(τ(t))]′+F(t,x(t),x(σ(t)))′x′(t),x′(σ(t)))=0.Using generalized Riccati transforma-tion,sufficient condition for oscillation of all solutions of the equation are obtained.
【关键词】 二阶微分方程;
中立型;
振动性;
Riccati变换;
【Key words】 second order nonlinear differential equation; neutral; oscillation; Riccati transforma-tion;
【Key words】 second order nonlinear differential equation; neutral; oscillation; Riccati transforma-tion;
- 【文献出处】 太原师范学院学报(自然科学版) ,Journal of Taiyuan Normal University(Natural Science Edition) , 编辑部邮箱 ,2012年04期
- 【分类号】O175
- 【下载频次】14