On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]
نویسندگان
چکیده
منابع مشابه
Periodicity and convergence for xn + 1 = | xn − xn − 1 |
Each solution {xn} of the equation in the title is either eventually periodic with period 3 or else, it converges to zero—which case occurs depends on whether the ratio of the initial values of {xn} is rational or irrational. Further, the sequence of ratios {xn/xn−1} satisfies a first-order difference equation that has periodic orbits of all integer periods except 3. p-cycles for each p = 3 are...
متن کاملON BOUNDEDNESS OF THE SOLUTIONS OF THE DIFFERENCE EQUATION xn+1=xn-1/(p+xn)
Theorem 1. (i) If p > 1, then the unique equilibrium 0 of (1) is globally asymptotically stable. (ii) If p = 1, then every positive solution of (1) converges to a period-two solution. (iii) If 0 < p < 1, then 0 and x = 1− p are the only equilibrium points of (1), and every positive solution {xn}n=−1 of (1) with (xN − x)(xN+1 − x) < 0 for some N ≥ −1 is unbounded. They proposed the following ope...
متن کاملOn the Burnside Semigroups xn = xn+m
In this paper we prove that the congruence classes of A associated to the Burnside semigroup with jAj generators deened by the equation x n = x n+m , for n 4 and m 1, are recognizable. This problem was originally formulated by Brzozowski in 1969 for m = 1 and n 2. De Luca and Varricchio solved the problem for n 5 in 90. A little later, McCammond extended the problem for m 1 and solved it indepe...
متن کاملOn the Max-Type Difference Equation xn+1=max{A/xn,xn-3}
The study of max-type difference equations attracted recently a considerable attention, see, for example, 1–27 , and the references listed therein. This type of difference equations stems from, for example, certain models in automatic control theory see 28 . In the beginning of the study of these equations experts have been focused on the investigation of the behavior of some particular cases o...
متن کاملOn the Recursive Sequence xn 1 max { xn , A } / x 2 nxn − 1
Max-type difference equations stem from, for example, certain models in automatic control theory see 1, 2 . Althoughmax-type difference equations are relatively simple in form, it is, unfortunately, extremely difficult to understand thoroughly the behavior of their solutions, see, for example, 1–41 and the relevant references cited therein. Furthermore, difference equation appear naturally as a...
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: MANAS Journal of Engineering
سال: 2020
ISSN: 1694-7398
DOI: 10.51354/mjen.748450