Constant-sign periodic and almost periodic solutions of a system of difference equations

R. P. Agarwal; D. O'Regan; Patricia J.Y. Wong

doi:10.13025/24384

Constant-sign periodic and almost periodic solutions of a system of difference equations

R. P. Agarwal
, D. O'Regan
, Patricia J.Y. Wong

Mathematics

Department of Mathematical Sciences
Lee Kong Chian School of Medicine/Nanyang Technological University

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

16 Citations (Scopus)

Abstract

We consider the following system of difference equations, ui(k)=∑l∈Igi(k,l)f(l,u1(l),u2(l),...,un(l)),k∈I,1≤i≤n, where I is a subset of ℤ. Our aim is to establish criteria such that the above system has a constantsign periodic and almost periodic solution (u ₁, u₂, ..., u_n). The above problem is also extended to that on ℤ, ui(k)=∑l∈ℤgi(k,l)fi(l,u1(l),u2(l),...,un(l)),k∈ℤ, 1≤i≤n.

Original language	English
Pages (from-to)	1725-1754
Number of pages	30
Journal	Computers and Mathematics with Applications
Volume	50
Issue number	10-12
DOIs	https://doi.org/10.13025/24384 https://doi.org/10.1016/j.camwa.2005.03.020
Publication status	Published - 1 Nov 2005

Keywords

Almost periodic solutions
Constant-sign solutions
Periodic solutions
System of difference equations

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10.13025/24384Licence: CC BY-NC-ND
10.1016/j.camwa.2005.03.020

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title = "Constant-sign periodic and almost periodic solutions of a system of difference equations",

abstract = "We consider the following system of difference equations, ui(k)=∑l∈Igi(k,l)f(l,u1(l),u2(l),...,un(l)),k∈I,1≤i≤n, where I is a subset of ℤ. Our aim is to establish criteria such that the above system has a constantsign periodic and almost periodic solution (u 1, u2, ..., un). The above problem is also extended to that on ℤ, ui(k)=∑l∈ℤgi(k,l)fi(l,u1(l),u2(l),...,un(l)),k∈ℤ, 1≤i≤n.",

keywords = "Almost periodic solutions, Constant-sign solutions, Periodic solutions, System of difference equations",

author = "Agarwal, \{R. P.\} and D. O'Regan and Wong, \{Patricia J.Y.\}",

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TY - JOUR

T1 - Constant-sign periodic and almost periodic solutions of a system of difference equations

AU - Agarwal, R. P.

AU - O'Regan, D.

AU - Wong, Patricia J.Y.

PY - 2005/11/1

Y1 - 2005/11/1

N2 - We consider the following system of difference equations, ui(k)=∑l∈Igi(k,l)f(l,u1(l),u2(l),...,un(l)),k∈I,1≤i≤n, where I is a subset of ℤ. Our aim is to establish criteria such that the above system has a constantsign periodic and almost periodic solution (u 1, u2, ..., un). The above problem is also extended to that on ℤ, ui(k)=∑l∈ℤgi(k,l)fi(l,u1(l),u2(l),...,un(l)),k∈ℤ, 1≤i≤n.

AB - We consider the following system of difference equations, ui(k)=∑l∈Igi(k,l)f(l,u1(l),u2(l),...,un(l)),k∈I,1≤i≤n, where I is a subset of ℤ. Our aim is to establish criteria such that the above system has a constantsign periodic and almost periodic solution (u 1, u2, ..., un). The above problem is also extended to that on ℤ, ui(k)=∑l∈ℤgi(k,l)fi(l,u1(l),u2(l),...,un(l)),k∈ℤ, 1≤i≤n.

KW - Almost periodic solutions

KW - Constant-sign solutions

KW - Periodic solutions

KW - System of difference equations

UR - http://hdl.handle.net/10379/8819

UR - https://www.scopus.com/pages/publications/28844435974

U2 - 10.13025/24384

DO - 10.13025/24384

M3 - Article

SN - 0898-1221

VL - 50

SP - 1725

EP - 1754

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 10-12

ER -

Constant-sign periodic and almost periodic solutions of a system of difference equations

Abstract

Keywords

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