A CYCLIC SYSTEM WITH DELAY AND ITS CHARACTERISTIC EQUATION

被引：5

作者：

Braverman, Elena ^{[1
]}

Hasik, Karel ^{[2
]}

Ivanov, Anatoli F. ^{[3
]}

Trofimchuk, Sergei, I ^{[4
]}

机构：

[1] Univ Calgary, Dept Math & Stat, 2500 Univ Dr NW, Calgary, AB T2N 1N4, Canada

[2] Silesian Univ, Math Inst, Opava 74601, Czech Republic

[3] Penn State Univ, Dept Math, POB PSU, Lehman, PA 18627 USA

[4] Univ Talca, Inst Matemat & Fis, Casilla 747, Talca, Chile

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2020年 / 13卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Cyclic delay systems; sign feedback; overall negative feedback; linearization; characteristic equation; leading eigenvalue; eigenvalues with positive real parts; asymptotic behavior of eigenvalues; monotone solutions; oscillating solutions; PERIODIC-SOLUTIONS; OSCILLATION;

D O I：

10.3934/dcdss.2020001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonlinear cyclic system with delay and the overall negative feedback is considered. The characteristic equation of the linearized system is studied in detail. Sufficient conditions for the oscillation of all solutions and for the existence of monotone solutions are derived in terms of roots of the characteristic equation.

引用

页码：1 / 29

页数：29

共 31 条

[1]

[Anonymous], 1979, Springer Lecture Notes in Mathematics

[2]

[Anonymous], 1995, Delay Equations: Complex, Functional, and Nonlinear Analysis

[3]

[Anonymous], 1963, Differential-Difference Equations

[4]

[Anonymous], 2002, Functional Analysis

[5]

[Anonymous], DIFFERENCE EQUATIONS

[6]

[Anonymous], 1979, J MATH ANAL APPL

[7]

[Anonymous], 1991, Oscillation Theory of Delay Differential Equations with Applications

[8]

[Anonymous], 2011, Management in Rice

[9]

[Anonymous], 2001, Introduction to Neural Dynamics and Signal Transmission Delay

[10]

Brezis H., 2010, Functional Analysis, Sobolev Spaces and Partial Differential Equations

← 1 2 3 4 →