POSITIVE PERIODIC SOLUTIONS FOR SYSTEMS OF IMPULSIVE DELAY DIFFERENTIAL EQUATIONS

被引：5

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

收藏

页码：170 / 196

页数：27

相关论文

共 42 条

[21] Existence of positive periodic solutions for Volterra intergo-differential equations [J].

Jiang, DQ ;

Wei, JJ .

ACTA MATHEMATICA SCIENTIA, 2001, 21 (04) :553-560

[22] Existence and global attractivity of positive periodic solutions for the impulsive delay Nicholson's blowflies model [J].

Li, Wan-Tong ;

Fan, Yong-Hong .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 201 (01) :55-68

[23] Existence and multiplicity of positive periodic solutions to functional differential equations with impulse effects [J].

Li, XY ;

Lin, XN ;

Jiang, DQ ;

Zhang, XY .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 62 (04) :683-701

[24] Periodic solutions for delay Lotka-Volterra competition systems [J].

Li, YK .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 246 (01) :230-244

[25] Periodic Solution for Impulsive Cellar Neural Networks with Time-Varying Delays in the Leakage Terms [J].

Liu, Bingwen ;

Gong, Shuhua .

ABSTRACT AND APPLIED ANALYSIS, 2013,

[26] Existence and global attractivity of unique positive periodic solution for a model of hernatopoiesis [J].

Liu, Guirong ;

Yan, Jurang ;

Zhang, Fengqin .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) :157-171

[27] Periodicity and global dynamics of an impulsive delay Lasota-Wazewska model [J].

Liu, Xianning ;

Takeuchi, Yasuhiro .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (01) :326-341

[28] OSCILLATION AND CHAOS IN PHYSIOLOGICAL CONTROL-SYSTEMS [J].

MACKEY, MC ;

GLASS, L .

SCIENCE, 1977, 197 (4300) :287-288

[29] Existence and uniqueness results for impulsive functional differential equations with scalar multiple delay and infinite delay [J].

Ouahab, Abdelghani .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (04) :1027-1041

[30] ON THE IMPULSIVE DELAY HEMATOPOIESIS MODEL WITH PERIODIC COEFFICIENTS [J].

Saker, S. H. ;

Alzabut, J. O. .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2009, 39 (05) :1657-1688

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