摘要
研究了一类非线性中立型时滞微分方程(x(t)-P(t)g(x(t-τ)))′+Q(t)h(x(t-δ))=0解的振动性,其中P,Q∈C([t0,∞),R),g,h∈C(R,R),τ>0,δ≥0。通过建立这个方程与某个线性中立型微分方程的联系导出了1个较简单的振动准则。
In this paper, the authors deal with the oscillatory behavior of the solutions of the following nonlinear neutral delay differential equation (z(t)-P(t)g(z(t-r)))′+Q(t)h(37(t-δ))=0, where P,Q∈C([t0,∞),R),g,h∈C(R,R),r〉0,δ≥O. Simple oscillation criteria are obtained by establishing a relation between the above-mentioned equation and a corresponding linear neutral differential equation.
出处
《中国海洋大学学报(自然科学版)》
CAS
CSCD
北大核心
2006年第2期233-235,共3页
Periodical of Ocean University of China
关键词
振动性
中立型时滞微分方程
非线性
oscillation
neutral delay differential equatin
nonlinear