Constant-sign solutions of a system of difference equations of Urysohn type

被引：1

作者：

Agarwal, Ravi P. ^{[1
]}

O'Regan, Donal ^{[2
]}

Wong, Patricia J. Y. ^{[3
]}

机构：

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

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

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

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2008年 / 14卷 / 05期

关键词：

constant-sign solutions; eigenvalues; eigenfunctions; system of difference equations;

D O I：

10.1080/10236190701698114

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 [GRAPHICS] where T >= N>0. By using fixed point theorems and fixed point index theory, criteria are developed to guarantee the existence of single, double and multiple solutions of the system that are of constant signs, i.e. for each 1 <= i <= n, u(i)(k) for is an element of k{0,1,,T}. We also consider the eigenvalue problem [GRAPHICS] and establish criteria for the existence of a constant-sign solution when is in some interval.

引用

页码：531 / 561

页数：31

共 50 条

[1] Constant-Sign Solutions of a System of Urysohn Integral Equations
Agarwal, Ravi P.
O'Regan, Donal
Wong, Patricia J. Y.
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2008, 29 (11-12) : 1205 - 1239
[2] Constant-sign periodic and almost periodic solutions of a system of difference equations
Agrawal, PR
O'Regan, D
Wong, PJY
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 50 (10-12) : 1725 - 1754
[3] On constant-sign solutions of a system of discrete equations
Agarwal R.P.
O'Regan D.
Wong P.J.Y.
Journal of Applied Mathematics and Computing, 2004, 14 (1-2) : 1 - 37
[4] Existence of constant-sign solutions to a system of difference equations: the semipositone and singular case
Agarwal, RP
O'Regan, D
Wong, PJY
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2005, 11 (02) : 151 - 171
[5] Constant-sign solutions of a system of Volterra integral equations
Agarwal, Ravi P.
O'Regan, Donal
Tisdell, Christopher C.
Wong, Patricia J. Y.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (01) : 58 - 75
[6] Constant-sign solutions of a system of Fredholm integral equations
Agarwal, RP
O'Regan, D
Wong, PJY
ACTA APPLICANDAE MATHEMATICAE, 2004, 80 (01) : 57 - 94
[7] Constant-Sign Lp Solutions for a System of Integral Equations
Agarwal R.P.
O’Regan D.
Wong P.J.Y.
Results in Mathematics, 2004, 46 (3-4) : 195 - 219
[8] Constant-Sign Solutions of a System of Fredholm Integral Equations
Ravi P. Agarwal
Donal O'Regan
Patricia J. Y. Wong
Acta Applicandae Mathematica, 2004, 80 : 57 - 94
[9] Constant-sign solutions for a system of integral equations on time scales
Wong, PJY
Soh, YC
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (2-3) : 271 - 280
[10] Constant-sign solutions for systems of singular integral equations of Hammerstein type
Agarwal, Ravi P.
O'Regan, Donal
Wong, Patricia J. Y.
MATHEMATICAL AND COMPUTER MODELLING, 2009, 50 (7-8) : 999 - 1025

← 1 2 3 4 5 →