Sixteen practically solvable systems of difference equations
نویسندگان
چکیده
منابع مشابه
On Some Solvable Difference Equations and Systems of Difference Equations
AND APPLIED ANALYSIS, Vol. 2012, No. Article ID 54176, pp. 1-11, Nov, 2012 References: Abstract: Here, we give explicit formulae for solutions of some systems of difference equations, which extend some very particular recent results in the literature and give natural explanations for them, which were omitted in the previous literature.
متن کاملQuasi Exactly Solvable Difference Equations
Several explicit examples of quasi exactly solvable ‘discrete’ quantum mechanical Hamiltonians are derived by deforming the well-known exactly solvable Hamiltonians of one degree of freedom. These are difference analogues of the well-known quasi exactly solvable systems, the harmonic oscillator (with/without the centrifugal potential) deformed by a sextic potential and the 1/ sin x potential de...
متن کاملOn a solvable for some systems of rational difference equations
In this paper, we study the existence of solutions for a class of rational systems of difference equations of order four in four-dimensional case xn+1 = xn−3 ±1±tnzn−1yn−2xn−3 , yn+1 = yn−3 ±1±xntn−1zn−2yn−3 , zn+1 = zn−3 ±1±ynxn−1tn−2zn−3 , tn+1 = tn−3 ±1±znyn−1xn−2tn−3 with the initial conditions are real numbers. Also, we study some behavior such as the periodicity and boundedness of solutio...
متن کاملGeneral k-Dimensional Solvable Systems of Difference Equations
The solvability of a k-dimensional system of difference equations of interest, which extends several recently studied ones, is investigated. A general sufficient condition for the solvability of the system is given, considerably extending some recent results in the literature.
متن کاملOn Some Fractional Systems of Difference Equations
This paper deal with the solutions of the systems of difference equations $$x_{n+1}=frac{y_{n-3}y_nx_{n-2}}{y_{n-3}x_{n-2}pm y_{n-3}y_n pm y_nx_{n-2}}, ,y_{n+1}=frac{y_{n-2}x_{n-1}}{ 2y_{n-2}pm x_{n-1}},,nin mathbb{N}_{0},$$ where $mathbb{N}_{0}=mathbb{N}cup left{0right}$, and initial values $x_{-2},, x_{-1},,x_{0},,y_{-3},,y_{-2},,y_{-1},,y_{0}$ are non-zero real numbers.
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: Advances in Difference Equations
سال: 2019
ISSN: 1687-1847
DOI: 10.1186/s13662-019-2388-6