On the Solutions of Three-Dimensional Rational Difference Equation Systems
نویسندگان
چکیده
In this paper, we are interested in a technique for solving some nonlinear rational systems of difference equations third order, three-dimensional case as special the following system: x n + 1 = y z − / ± 2 , and with initial conditions id="M2"> 0 , id="M3"> nonzero real numbers. Moreover, study behavior such boundedness solutions systems. Finally, present numerical examples by giving values each case. Some figures have been given to explain obtained using mathematical program MATLAB confirm results.
منابع مشابه
STUDYING THE BEHAVIOR OF SOLUTIONS OF A SECOND-ORDER RATIONAL DIFFERENCE EQUATION AND A RATIONAL SYSTEM
In this paper we investigate the behavior of solutions, stable and unstable of the solutions a second-order rational difference equation. Also we will discuss about the behavior of solutions a the rational system, we show these solutions may be stable or unstable.
متن کاملstudying the behavior of solutions of a second-order rational difference equation and a rational system
in this paper we investigate the behavior of solutions, stable and unstable of the solutions a second-order rational difference equation. also we will discuss about the behavior of solutions a the rational system, we show these solutions may be stable or unstable.
متن کاملPERIODIC SOLUTIONS OF CERTAIN THREE DIMENSIONAL AUTONOMOUS SYSTEMS
There has been extensive work on the existence of periodic solutions for nonlinear second order autonomous differantial equations, but little work regarding the third order problems. The popular Poincare-Bendixon theorem applies well to the former but not the latter (see [2] and [3]). We give a necessary condition for the existence of periodic solutions for the third order autonomous system...
متن کاملOn a q-Difference Painlevé III Equation: II. Rational Solutions
where fi = fi(n; ν,N) (i = 0, 1) are dependent variables, n ∈ Z is the independent variable, ν,N ∈ Z are parameters, and q, a0, a1, c are constants. Moreover, fi and fi denote fi(n+ 1; ν,N) and fi(n− 1; ν,N), respectively. In the previous paper [6], we have discussed the derivations, symmetry and particular solutions of Riccati type of q-PIII (1.1). In this paper, we consider the rational solut...
متن کاملOn the solutions of systems of rational difference equations
In this paper we deal with the periodic nature and the form of the solutions of the following systems of rational difference equations x n+1 = x n−3 ±1 ± x n−3 y n−1 , y n+1 = y n−3 ±1 ± y n−3 x n−1 with a nonzero real number's initial conditions.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematics
سال: 2021
ISSN: ['2314-4785', '2314-4629']
DOI: https://doi.org/10.1155/2021/2480294