Persistence and periodic solutions in systems of delay differential equations

被引：5

作者：

Amster, Pablo ^{[1
]}

Bondorevsky, Melanie

机构：

[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, Ciudad Univ Pab 1, RA-1428 Buenos Aires, DF, Argentina

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2021年 / 403卷

关键词：

Delay differential equations; Semi-dynamical systems; Persistence; Guiding functions; Periodic solutions; Topological degree; Global attractor;

D O I：

10.1016/j.amc.2021.126193

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study semi-dynamical systems associated to delay differential equations. We give a simple criteria to obtain weak and strong persistence and provide sufficient conditions to guarantee uniform persistence. Moreover, we show the existence of non-trivial T-periodic solutions via topological degree techniques. Finally, we prove that, in some sense, the conditions are also necessary. (C)Y 2021 Elsevier Inc. All rights reserved.

引用

页数：10

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