一类偶数阶非线性中立型微分方程的振动性Oscillation for A Class of Even Order Nonlinear Neutral Differential Equation
石艳香
摘要(Abstract):
考虑一类带有分布型偏差变元的偶数阶非线性中立型微分方程:dndtna(t)y(t)+∑mi=1ci(t)y(t-τi)+∫abf(t,ξ,y[g(t,ξ)])dσ(ξ)=0,t≥t0,的振动性,得到了这个方程其解振动的充分性条件,推广了PG Wang,WY Shi[J.Appl.Math.Let.,2003,16:1011-1018]中相关结论。
关键词(KeyWords): 中立型微分方程;振动性;最终正解;分布型偏差变元
基金项目(Foundation): 国家自然科学基金(10071045)
作者(Author): 石艳香
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