Yıl 2018, Cilt 47, Sayı 5, Sayfalar 1128 - 1143 2018-10-16
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## Qualitative study of a higher order rational difference equation

#### Abdul Khaliq [1] , E.M. Elsayed [2]

##### 14 23

In this paper we study the behavior of the difference equation

$x_{n+1}$ = $\dfrac{\alpha x_nx_{n-l}}{\beta x_{n-m}+\gamma x_{n-l}}$,$\quad n=0,1,$ $\cdots$

where the initial conditions $x_{-r}$, $x_{-r+1}$, $\cdots$ ,$x_0$ are arbitrary non zero real numbers where $r=\max\{l,m\}$ is a non-negative integer and  $\alpha$, $\beta$ and $\gamma$ are constants: Also, we obtain the solutions of some special cases of this equation. At the end we present some numerical examples to support our theoretical discussion.
difference equation, stability, boundedness, global attractivity
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Birincil Dil en Matematik Matematik Yazar: Abdul Khaliq (Sorumlu Yazar)Kurum: RIPHAH INSTITUTE OF COMPUTING AND APPLIED SCIENCES, RIPHAH INTERNATIONAL UNIVERSITYÜlke: Pakistan Yazar: E.M. ElsayedKurum: MATHEMATICS DEPARTMENT, FACULTY OF SCIENCE, KING ABDULAZIZ UNIVERSITYÜlke: Egypt
 Bibtex @araştırma makalesi { hujms471054, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {Hacettepe Üniversitesi}, year = {2018}, volume = {47}, pages = {1128 - 1143}, doi = {}, title = {Qualitative study of a higher order rational difference equation}, key = {cite}, author = {Elsayed, E.M. and Khaliq, Abdul} } APA Khaliq, A , Elsayed, E . (2018). Qualitative study of a higher order rational difference equation. Hacettepe Journal of Mathematics and Statistics, 47 (5), 1128-1143. Retrieved from http://dergipark.gov.tr/hujms/issue/39860/471054 MLA Khaliq, A , Elsayed, E . "Qualitative study of a higher order rational difference equation". Hacettepe Journal of Mathematics and Statistics 47 (2018): 1128-1143 Chicago Khaliq, A , Elsayed, E . "Qualitative study of a higher order rational difference equation". Hacettepe Journal of Mathematics and Statistics 47 (2018): 1128-1143 RIS TY - JOUR T1 - Qualitative study of a higher order rational difference equation AU - Abdul Khaliq , E.M. Elsayed Y1 - 2018 PY - 2018 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1128 EP - 1143 VL - 47 IS - 5 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2017 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Qualitative study of a higher order rational difference equation %A Abdul Khaliq , E.M. Elsayed %T Qualitative study of a higher order rational difference equation %D 2018 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 47 %N 5 %R %U ISNAD Khaliq, Abdul , Elsayed, E.M. . "Qualitative study of a higher order rational difference equation". Hacettepe Journal of Mathematics and Statistics 47 / 5 (Ekim 2018): 1128-1143.