On oscillation of a logistic equation with several delays

被引：18

作者：

Berezansky, L ^{[1
]}

Braverman, E

机构：

[1] Ben Gurion Univ Negev, Dept Math & Comp Sci, IL-84105 Beer Sheva, Israel

[2] Technion Israel Inst Technol, Dept Comp Sci, IL-32000 Haifa, Israel

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2000年 / 113卷 / 1-2期

关键词：

D O I：

10.1016/S0377-0427(99)00260-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a scalar delay logistic equation (y) over dot(t) = y(t) (k = 1)Sigma(m)r(k)(t) (1 - y(h(k)(t))/K), h(k)(t) less than or equal to t, a connection between oscillating properties of this equation, the corresponding differential inequalities and the linear equation (x) over dot(t) + (k = 1)Sigma(m)r(k)(t)x(h(k)(t)) = 0, established. Explicit nonoscillation and oscillation conditions are presented. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：255 / 265

页数：11

共 11 条

[1]

Berezansky L., 1997, DYNAMIC SYSTEMS APPL, V6, P567

[2]

Erbe L.H., 1995, Oscillation Theory for Functional Differential Equations

[3]

Gopalsamy K., 2013, Stability and Oscillations in Delay Differential Equations of Population Dynamics, V74

[4] NECESSARY AND SUFFICIENT CONDITIONS FOR THE OSCILLATIONS OF A MULTIPLICATIVE DELAY LOGISTIC EQUATION [J].