On a second order rational systems of difference equations

被引：0

作者：

Touafek, N. ^{[1
]}

Elsayed, E. M. ^{[2
,3
]}

机构：

[1] Jijel Univ, Dept Math, LMAM Lab, Jijel 18000, Algeria

[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

[3] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

来源：

HOKKAIDO MATHEMATICAL JOURNAL | 2015年 / 44卷 / 01期

关键词：

Periodic solutions; system of difference equations; POSITIVE SOLUTIONS; Y(N); X(N);

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the periodicity and the form of the solutions of the following systems of difference equations of order two x(n+1) = y(n)x(n-1)/+/- x(n-1) +/- y(n), y(n+1) = x(n)y(n-1)/+/- x(n) +/- y(n-1), n is an element of N-0, with nonzero real numbers initial conditions.

引用

页码：29 / 45

页数：17

共 50 条

[21] On difference Riccati equations and second order linear difference equations
Katsuya Ishizaki
Aequationes mathematicae, 2011, 81 : 185 - 198
[22] On invariants for difference equations and systems of difference equations of rational form
Sahadevan, R
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 233 (02) : 498 - 507
[23] Invariants for difference equations and systems of difference equations of rational form
Schinas, CJ
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 216 (01) : 164 - 179
[24] Neimark-Sacker bifurcation of two second-order rational difference equations
Kulenovic, M. R. S.
O'Loughlin, C.
Pilav, E.
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2024,
[25] Global Behavior of Solutions to Two Classes of Second-Order Rational Difference Equations
Sukanya Basu
Orlando Merino
Advances in Difference Equations, 2009
[26] Global Behavior of Solutions to Two Classes of Second-Order Rational Difference Equations
Basu, Sukanya
Merino, Orlando
ADVANCES IN DIFFERENCE EQUATIONS, 2009,
[27] CONVERGENCE TO A PERIOD-TWO SOLUTION FOR A CLASS OF SECOND ORDER RATIONAL DIFFERENCE EQUATIONS
Kulenovic, M. R. S.
Merino, Orlando
DIFFERENCE EQUATIONS, SPECIAL FUNCTIONS AND ORTHOGONAL POLYNOMIALS, 2007, : 344 - 353
[28] On periodic rational difference equations of order k
Cima, A
Gasull, A
Mañosas, F
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2004, 10 (06) : 549 - 559
[29] Second order linear difference equations
Encinas, A. M.
Jimenez, M. J.
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2018, 24 (03) : 305 - 343
[30] On the spectrum of the difference equations of second order
Akbulut, A
Adivar, M
Bairamov, E
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2005, 67 (3-4): : 253 - 263

← 1 2 3 4 5 →