OSCILLATIONS OF 2ND-ORDER NEUTRAL DIFFERENTIAL-EQUATIONS

被引：33

作者：

RUAN, SG ^{[1
]}

机构：

[1] UNIV ALBERTA,EDMONTON T6G 2G1,ALBERTA,CANADA

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 1993年 / 36卷 / 04期

关键词：

D O I：

10.4153/CMB-1993-064-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the oscillatory behavior of the second order neutral delay differential equation (a(t)(x(t) + p(t)x(t-tau))')' + q(t)f(x(t-sigma)) = 0, where t greater-than-or-equal-to t0, tau and sigma are positive constants, a, p, q is-an-element-of C([t0, infinity), R),f is-an-element-of C[R, R]. Some sufficient conditions are established such that die above equation is oscillatory. The obtained oscillation criteria generalize and improve a number of known results about both neutral and delay differential equations.

引用

页码：485 / 496

页数：12

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