Optimal existence theory for single and multiple positive periodic solutions to functional difference equations

Daqing Jiang; Donal O'Regan; R. P. Agarwal

doi:10.1016/j.amc.2003.12.097

Optimal existence theory for single and multiple positive periodic solutions to functional difference equations

Daqing Jiang
, Donal O'Regan
, R. P. Agarwal

Mathematics

Northeast Normal University
Department of Mathematical Sciences

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

23 Citations (Scopus)

Abstract

This paper presents a new optimal existence theory for single and multiple positive periodic solutions to functional difference equations. Existence is established using a fixed point theorem in cones. We illustrate our theory be examining several biomathematical models.

Original language	English
Pages (from-to)	441-462
Number of pages	22
Journal	Applied Mathematics and Computation
Volume	161
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2003.12.097
Publication status	Published - 15 Feb 2005

Keywords

Fixed point theorem in cones
Functional difference equation
Positive periodic solution

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10.1016/j.amc.2003.12.097

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title = "Optimal existence theory for single and multiple positive periodic solutions to functional difference equations",

abstract = "This paper presents a new optimal existence theory for single and multiple positive periodic solutions to functional difference equations. Existence is established using a fixed point theorem in cones. We illustrate our theory be examining several biomathematical models.",

keywords = "Fixed point theorem in cones, Functional difference equation, Positive periodic solution",

author = "Daqing Jiang and Donal O'Regan and Agarwal, \{R. P.\}",

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AU - Jiang, Daqing

AU - O'Regan, Donal

AU - Agarwal, R. P.

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N2 - This paper presents a new optimal existence theory for single and multiple positive periodic solutions to functional difference equations. Existence is established using a fixed point theorem in cones. We illustrate our theory be examining several biomathematical models.

AB - This paper presents a new optimal existence theory for single and multiple positive periodic solutions to functional difference equations. Existence is established using a fixed point theorem in cones. We illustrate our theory be examining several biomathematical models.

KW - Fixed point theorem in cones

KW - Functional difference equation

KW - Positive periodic solution

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DO - 10.1016/j.amc.2003.12.097

M3 - Article

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SP - 441

EP - 462

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

Optimal existence theory for single and multiple positive periodic solutions to functional difference equations

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Keywords

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