On the number of positive periodic solutions of functional differential equations and population models

Daqing Jiang; Donal O'Regan; Ravi P. Agarwal; X. U. Xiaojie

doi:10.1142/S0218202505000467

On the number of positive periodic solutions of functional differential equations and population models

Daqing Jiang
, Donal O'Regan
, Ravi P. Agarwal
, X. U. Xiaojie

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

11 Citations (Scopus)

Abstract

In this paper, we employ the fixed point index on cones to study the existence, multiplicity and nonexistence of positive periodic solutions to a system of infinite delay equations, ẋ(t) = A(t)x(t) + λf(t,x _t) in which λ > 0 is a parameter. We prove some general theorems and establish new periodicity conditions for several population growth models.

Original language	English
Pages (from-to)	555-573
Number of pages	19
Journal	Mathematical Models and Methods in Applied Sciences
Volume	15
Issue number	4
DOIs	https://doi.org/10.1142/S0218202505000467
Publication status	Published - Apr 2005

Keywords

Functional differential equation
Population models
Positive periodic solution

Access to Document

10.1142/S0218202505000467

Cite this

@article{44acb1cbce2a44f881e0d33d0c1d2898,

title = "On the number of positive periodic solutions of functional differential equations and population models",

abstract = "In this paper, we employ the fixed point index on cones to study the existence, multiplicity and nonexistence of positive periodic solutions to a system of infinite delay equations, ẋ(t) = A(t)x(t) + λf(t,x t) in which λ > 0 is a parameter. We prove some general theorems and establish new periodicity conditions for several population growth models.",

keywords = "Functional differential equation, Population models, Positive periodic solution",

author = "Daqing Jiang and Donal O'Regan and Agarwal, \{Ravi P.\} and Xiaojie, \{X. U.\}",

year = "2005",

month = apr,

doi = "10.1142/S0218202505000467",

language = "English",

volume = "15",

pages = "555--573",

journal = "Mathematical Models and Methods in Applied Sciences",

issn = "0218-2025",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "4",

}

TY - JOUR

T1 - On the number of positive periodic solutions of functional differential equations and population models

AU - Jiang, Daqing

AU - O'Regan, Donal

AU - Agarwal, Ravi P.

AU - Xiaojie, X. U.

PY - 2005/4

Y1 - 2005/4

N2 - In this paper, we employ the fixed point index on cones to study the existence, multiplicity and nonexistence of positive periodic solutions to a system of infinite delay equations, ẋ(t) = A(t)x(t) + λf(t,x t) in which λ > 0 is a parameter. We prove some general theorems and establish new periodicity conditions for several population growth models.

AB - In this paper, we employ the fixed point index on cones to study the existence, multiplicity and nonexistence of positive periodic solutions to a system of infinite delay equations, ẋ(t) = A(t)x(t) + λf(t,x t) in which λ > 0 is a parameter. We prove some general theorems and establish new periodicity conditions for several population growth models.

KW - Functional differential equation

KW - Population models

KW - Positive periodic solution

UR - https://www.scopus.com/pages/publications/17144363669

U2 - 10.1142/S0218202505000467

DO - 10.1142/S0218202505000467

M3 - Article

SN - 0218-2025

VL - 15

SP - 555

EP - 573

JO - Mathematical Models and Methods in Applied Sciences

JF - Mathematical Models and Methods in Applied Sciences

IS - 4

ER -

On the number of positive periodic solutions of functional differential equations and population models

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this