POSITIVE PERIODIC SOLUTIONS FOR SYSTEMS OF IMPULSIVE DELAY DIFFERENTIAL EQUATIONS

被引：4

作者：

Faria, Teresa ^{[1
,2
]}

Figueroa, Ruben ^{[3
]}

机构：

[1] Univ Lisbon, Fac Ciencias, Dept Matemat, P-1749016 Lisbon, Portugal

[2] Univ Lisbon, Fac Ciencias, CMAFCIO, P-1749016 Lisbon, Portugal

[3] Univ Santiago de Compostela, Fac Matemat, Dept Estat Anal Matemat & Optimizac, Santiago De Compostela 15782, Spain

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2023年 / 28卷 / 01期

关键词：

Delay differential equations; impulses; positive periodic solutions; Krasnoselskii's fixed point theorem; Nicholson systems; EXPONENTIAL STABILITY; GLOBAL ATTRACTIVITY; EXISTENCE; MODEL; BOUNDEDNESS; PERSISTENCE;

D O I：

10.3934/dcdsb.2022070

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of periodic differential n-dimensional systems with patch structure with (possibly infinite) delay and nonlinear impulses is considered. These systems incorporate very general nonlinearities and impulses whose signs may vary. Criteria for the existence of at least one positive periodic solution are presented, extending and improving previous ones established for the scalar case. Applications to systems inspired in mathematical biology models, such as impulsive hematopoiesis and Nicholson-type systems, are also included.

引用

页码：170 / 196

页数：27

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