EXISTENCE OF NONSTATIONARY PERIODIC SOLUTIONS FOR Γ-SYMMETRIC LOTKA-VOLTERRA TYPE SYSTEMS

被引：3

作者：

Hirano, Norimichi ^{[1
]}

Krawcewicz, Wieslaw ^{[2
,3
]}

Ruan, Haibo ^{[2
,3
]}

机构：

[1] Yokohama Natl Univ, Dept Math, Hodogaya Ku, Yokohama, Kanagawa 240, Japan

[2] Univ Texas Dallas, Dept Math Sci, Richardson, TX 75080 USA

[3] Univ Hamburg, Dept Math, D-20146 Hamburg, Germany

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2011年 / 30卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Autonomous functional differential equations; periodic solutions; equivariant degree;

D O I：

10.3934/dcds.2011.30.709

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present a general framework for applications of the twisted equivariant degree (with one free parameter) to an autonomous Gamma-symmetric system of functional differential equations in order to detect and classify (according to their symmetric properties) its periodic solutions. As an example we establish the existence of multiple non-constant periodic solutions of delay Lotka-Volterra equations with Gamma-symmetries. We also include some computational examples for several finite groups Gamma.

引用

页码：709 / 735

页数：27

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