Dynamics and solutions structures of nonlinear system of difference equations

被引：3
作者：
Elsayed, Elsayed M. [1 ,2 ]
Alofi, Badriah S. [1 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia
[2] Mansoura Univ, Dept Math, Fac Sci, Mansoura, Egypt
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年
关键词：
difference equations; solution of difference equation; system of difference equations; BEHAVIOR; XN+1;
D O I：
10.1002/mma.8798
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we prove the boundedness of the positive solutions as well as local and global asymptotic stable of the equilibrium points of difference equations system in the second order Un+1 = b(1)V(n) + c(1)V(n)U(n-1)/r + V-n + Un-1, Vn+1 = b(2)U(n) + c2U(n)V(n-1)/r + U-n +/- Vn-1, Furthermore, we study the solutions for three special cases of system. Numerical examples are provided to illustrate results.
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页数：18
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