Oscillation properties of a logistic equation with distributed delay

被引：21

作者：

Berezansky, L ^{[1
]}

Braverman, E

机构：

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

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

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2003年 / 4卷 / 01期

关键词：

logistic equation; distributed delays; oscillation; nonoscillation; comparison theorems;

D O I：

10.1016/S1468-1218(02)00010-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a scalar delay logistic equation [GRAPHICS] the oscillation properties are established, which are well known for a linear delay differential equation, such as comparison theorems, explicit oscillation conditions, dependence of the solution sign on the initial function and the initial value. Explicit oscillation and nonoscillation conditions are presented and compared to the known ones. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：1 / 19

页数：19

共 17 条

[1] Oscillation properties of a logistic equation with several delays [J].

Berezansky, L ;

Braverman, E .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 247 (01) :110-125

[2] On oscillation of a logistic equation with several delays [J].

Berezansky, L ;

Braverman, E .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 113 (1-2) :255-265

[3]

Berezansky L, 2001, Z ANAL ANWEND, V20, P489

[4]

Berezansky L., 1999, DYNAM SYST APPL, V8, P219

[5] A DELAY LOGISTIC EQUATION WITH VARIABLE GROWTH-RATE [J].

COHEN, DS ;

ROSENBLAT, S .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1982, 42 (03) :608-624

[6]

CUSHING JM, 1977, LECT NOTES BIOMATHEM, V2

[7]

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

[8]

GOPALSAMY K, 1991, HOUSTON J MATH, V17, P157

[9]

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

[10]

GOPALSAMY K, 1992, DYNAMIC SYSTEMS APPL, V1, P23

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