Global behavior of solutions to chevron pattern equations
نویسندگان
چکیده
منابع مشابه
Global behavior of the solutions of some difference equations
where the initial conditions x-r, x-r+1, x-r+2,..., x0 are arbitrary positive real numbers, r = max{l, k, p, q} is nonnegative integer and a, b, c are positive constants: Moreover, we obtain the form of the solution of some special cases of Equation 1 and some numerical simulations to the equation are given to illustrate our results. Let us introduce some basic definitions and some theorems tha...
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For nonnegative real numbers α, β, γ , A, B, and C such that B C > 0 and α β γ > 0, the difference equation xn 1 α βxn γxn−1 / A Bxn Cxn−1 , n 0, 1, 2, . . . has a unique positive equilibrium. A proof is given here for the following statements: 1 For every choice of positive parameters α, β, γ , A, B, and C, all solutions to the difference equation xn 1 α βxn γxn−1 / A Bxn Cxn−1 , n 0, 1, 2, . ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2020
ISSN: 0022-2488,1089-7658
DOI: 10.1063/5.0012525