Periodicity and solutions for some systems of nonlinear rational difference equations

E.m. Elsayed; T.f. Ibrahim

Araştırma Makalesi

Periodicity and solutions for some systems of nonlinear rational difference equations

Yıl 2015, Cilt: 44 Sayı: 6, 1361 - 1390, 01.12.2015

E.m. Elsayed T.f. Ibrahim

Öz

In this paper, we investigated the periodic nature and the form of the
solutions of nonlinear di􏳸erence equations systems of order three

$$x_{n+1}=\dfrac{x_{n-2}y_{n-1}}{y_n(\pm 1\pm x_{n-2}y_{n-1})}, y_{n+1}=\dfrac{y_{n-2}x_{n-1}}{x_n(\pm 1\pm y_{n-2}x_{n-1})},$$

with initial conditions $x_{-2}, x_{-1}, x_0,y_{-2}, y_{-1}$ and $y_0$ are nonzero real numbers.

Anahtar Kelimeler

recursive sequences, stability, periodic solution, difference equation, periodic solution of difference equation, system of difference equation

Kaynakça

.

Yıl 2015, Cilt: 44 Sayı: 6, 1361 - 1390, 01.12.2015

E.m. Elsayed T.f. Ibrahim

Öz

Kaynakça

.

Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Konular	Matematik
Bölüm	Matematik
Yazarlar	E.m. Elsayed T.f. Ibrahim
Yayımlanma Tarihi	1 Aralık 2015
Yayımlandığı Sayı	Yıl 2015 Cilt: 44 Sayı: 6

Kaynak Göster

APA	Elsayed, E., & Ibrahim, T. (2015). Periodicity and solutions for some systems of nonlinear rational difference equations. Hacettepe Journal of Mathematics and Statistics, 44(6), 1361-1390.
AMA	Elsayed E, Ibrahim T. Periodicity and solutions for some systems of nonlinear rational difference equations. Hacettepe Journal of Mathematics and Statistics. Aralık 2015;44(6):1361-1390.
Chicago	Elsayed, E.m., ve T.f. Ibrahim. “Periodicity and Solutions for Some Systems of Nonlinear Rational Difference Equations”. Hacettepe Journal of Mathematics and Statistics 44, sy. 6 (Aralık 2015): 1361-90.
EndNote	Elsayed E, Ibrahim T (01 Aralık 2015) Periodicity and solutions for some systems of nonlinear rational difference equations. Hacettepe Journal of Mathematics and Statistics 44 6 1361–1390.
IEEE	E. Elsayed ve T. Ibrahim, “Periodicity and solutions for some systems of nonlinear rational difference equations”, Hacettepe Journal of Mathematics and Statistics, c. 44, sy. 6, ss. 1361–1390, 2015.
ISNAD	Elsayed, E.m. - Ibrahim, T.f. “Periodicity and Solutions for Some Systems of Nonlinear Rational Difference Equations”. Hacettepe Journal of Mathematics and Statistics 44/6 (Aralık 2015), 1361-1390.
JAMA	Elsayed E, Ibrahim T. Periodicity and solutions for some systems of nonlinear rational difference equations. Hacettepe Journal of Mathematics and Statistics. 2015;44:1361–1390.
MLA	Elsayed, E.m. ve T.f. Ibrahim. “Periodicity and Solutions for Some Systems of Nonlinear Rational Difference Equations”. Hacettepe Journal of Mathematics and Statistics, c. 44, sy. 6, 2015, ss. 1361-90.
Vancouver	Elsayed E, Ibrahim T. Periodicity and solutions for some systems of nonlinear rational difference equations. Hacettepe Journal of Mathematics and Statistics. 2015;44(6):1361-90.