On a Class of Solvable 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 کاملMulti-Particle Quasi Exactly Solvable Difference Equations
Several explicit examples of multi-particle quasi exactly solvable ‘discrete’ quantum mechanical Hamiltonians are derived by deforming the well-known exactly solvable multi-particle Hamiltonians, the Ruijsenaars-Schneider-van Diejen systems. These are difference analogues of the quasi exactly solvable multi-particle systems, the quantum Inozemtsev systems obtained by deforming the well-known ex...
متن کاملOn Global Attractivity of a Class of Nonautonomous Difference Equations
We mainly investigate the global behavior to the family of higher-order nonautonomous recursive equations given by yn p ryn−s / q φn yn−1, yn−2, . . . , yn−m yn−s , n ∈ N0, with p ≥ 0, r, q > 0, s,m ∈ N and positive initial values, and present some sufficient conditions for the parameters andmaps φn : R m → R , n ∈ N0, under which every positive solution to the equation converges to zero or a u...
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: Abstract and Applied Analysis
سال: 2013
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2013/157943