Linearized oscillation of first-order nonlinear neutral delay differential equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:258

Article

Tang, XH ; Yu, JS

关键词: neutral delay differential equation;    linearized;    oscillation;    equivalence;    critical state;   

DOI  :  10.1006/jmaa.2000.7373

来源: Elsevier

【 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.

【 授权许可】

Free