Qualitative Behavior of Solutions of Tenth-Order Recursive Sequence Equation

被引：5

作者：

Elsayed, E. M. ^{[1
,2
]}

Alofi, B. S. ^{[1
]}

Khan, Abdul Qadeer ^{[3
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Math Dept, POB 80203, Jeddah 21589, Saudi Arabia

[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura, Egypt

[3] Univ Azad Jammu & Kashmir, Dept Math, Muzaffarabad 13100, Pakistan

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2022年 / 2022卷

关键词：

PERIODICITY;

D O I：

10.1155/2022/5242325

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Most nonlinear difference equations have exact solutions that are not always possible to obtain theoretically. As a result, a large number of researchers investigate several qualitative aspects of difference equations in order to predict their lengthy behavior. The goal of our research is to obtain the solutions of a tenth-order difference equation Un+1. Un-9 Un-5 Un-1/Un-7 Un-3(+/- 1 +/- Un-9 Un-5 Un-1), n >= 0, where the initial values are positive real numbers. Stability and periodicity are also investigated.Y

引用

页数：10

共 14 条

[1] Analytic Solutions and Stability of Sixth Order Difference Equations [J].

Alayachi, H. S. ;

Noorani, M. S. M. ;

Khan, A. Q. ;

Almatrafi, M. B. .

MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020

[2]

Almatrafi M. B., 2019, Open Journal of Mathematical Analysis (OMA), V3, P52, DOI [10.30538/psrp-oma2019.0032, DOI 10.30538/PSRP-OMA2019.0032]

[3] Qualitative analysis for two fractional difference equations [J].

Almatrafi, Mohammed B. ;

Alzubaidi, Marwa M. .

NONLINEAR ENGINEERING - MODELING AND APPLICATION, 2020, 9 (01) :265-272

[4]

Alotaibi A.M., 2019, J COMPUT ANAL APPL, V26, P604

[5] On the trichotomy character of xn+1 = α+γxn-1/A+Bxn+xn-2 [J].

Chatterjee, E ;

Grove, EA ;

Kostrov, Y ;

Ladas, G .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2003, 9 (12) :1113-1128

[6] Dynamics and Solutions of a Fifth-Order Nonlinear Difference Equation [J].

El-Dessoky, M. M. ;

Elabbasy, E. M. ;

Asiri, Asim .

DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2018, 2018

[7] Solutions and Periodicity of a Rational Recursive Sequences of Order Five [J].

Elsayed, E. M. ;

Ibrahim, T. F. .

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2015, 38 (01) :95-112

[8]

Ghazel M., 2017, Arch. Math, V10, P4662

[9] BEHAVIOR OF A SEVENTH ORDER RATIONAL DIFFERENCE EQUATION [J].

Khaliq, Abdul ;

Hassan, Sk Sarif ;

Saqib, Muhammad ;

Mashat, Daoud Suleiman .

DYNAMIC SYSTEMS AND APPLICATIONS, 2019, 28 (04) :809-825

[10] Dynamics of some higher order rational difference equations [J].

Sadiq, Stephen ;

Kalim, Muhammad .

INTERNATIONAL JOURNAL OF ADVANCED AND APPLIED SCIENCES, 2018, 5 (07) :64-70

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