Linearized oscillation of first-order nonlinear neutral delay differential equations

被引：15

作者：

Tang, XH ^{[1
]}

Yu, JS

机构：

[1] Cent S Univ, Dept Appl Math, Changsha 410083, Hunan, Peoples R China

[2] Hunan Univ, Dept Appl Math, Changsha 410082, Hunan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 258卷 / 01期

基金：

中国国家自然科学基金;

关键词：

neutral delay differential equation; linearized; oscillation; equivalence; critical state;

D O I：

10.1006/jmaa.2000.7373

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we establish a equivalence of oscillation for the first-order nonlinear neutral delay differential equation, [x(t) - px(t - tau)]' + Sigma (m)(i=1)q(i)f(i)(x(t - sigma (i))) = 0, and its corresponding linear equation, [x(t)- px(t - tau)]' + Sigma (m)(i=1) q(i)x(t - sigma (i)) = 0 under the weaker condition on f(i) .(C) 2001 Academic Press.

引用

页码：194 / 208

页数：15

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