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

被引：16

作者：

Agrawal, PR ^{[1
]}

O'Regan, D

Wong, PJY

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[2] Natl Univ Ireland, Dept Math, Galway, Ireland

[3] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2005年 / 50卷 / 10-12期

关键词：

system of difference equations; constant-sign solutions; periodic solutions; almost periodic solutions;

D O I：

10.1016/j.camwa.2005.03.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the following system of difference equations, u(i) (k) = Sigma(e is an element of Z) gi (k, l) f (l u(1) (l), u(2) (l),...,u(2) (l)), k is an element of I, 1 <= i <= n, where I is a subset of Z. Our aim is to establish criteria such that the above system has a constant-sign periodic and almost periodic solution (u(1), u(2),...,u(n).). The above problem is also extended to that on u(1) (k) = Sigma(e is an element of Z) g(i) (k, l) fi (l, u(1) (l), u(2) (l),..., u(n), k is an element of Z, 1 <= i <= n. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1725 / 1754

页数：30

共 16 条

[1] Agarwal R.P., 1999, POSITIVE SOLUTIONS D
[2] Agarwal R.P., 2001, Nonlinear Integral Equations and Inclusions, V141
[3] Agarwal Ravi P., 2004, Journal of Applied Mathematics and Informatics, V14, P1
[4] Existence of constant-sign solutions to a system of difference equations: the semipositone and singular case
Agarwal, RP
O'Regan, D
Wong, PJY
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2005, 11 (02) : 151 - 171
[5] AGARWAL RP, 2004, NONLINEAR OSCIL, V7, P3
[6] AGARWAL RP, IN PRESS ACTA APPL M
[7] [Anonymous], 1998, EXISTENCE THEORY NON
[8] Corduneanu C., 1973, Mathematics in Science and Engineering
[9] Corduneanu C., 1968, Almost periodic functions
[10] CORDUNEANU C, 1969, SIAM STUDIES APPL MA, V5, P55

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