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 کاملGlobal stability of a rational difference equation
We consider the higher-order nonlinear difference equation xn 1 p qxn−k / 1 xn rxn−k , n 0, 1, . . . with the parameters, and the initial conditions x−k, . . . , x0 are nonnegative real numbers. We investigate the periodic character, invariant intervals, and the global asymptotic stability of all positive solutions of the above-mentioned equation. In particular, our results solve the open probl...
متن کاملQualitative behavior of a rational difference equation
* Correspondence: [email protected] Department of Basic Courses, Hebei Finance University, Baoding 071000, China Abstract This article is concerned with the following rational difference equation yn+1 = (yn + yn-1)/(p + ynyn-1) with the initial conditions; y-1, y0 are arbitrary positive real numbers, and p is positive constant. Locally asymptotical stability and global attractivity of the ...
متن کاملDynamics of a rational difference equation
The main goal of the paper is to investigate boundedness, invariant intervals, semicycles, and global attractivity of all nonnegative solutions of the equation xn 1 α βxn γxn−k / 1 xn−k , n ∈ N0, where the parameters α, β, γ ∈ 0,∞ , k ≥ 2 is an integer, and the initial conditions x−k, . . . , x0 ∈ 0,∞ . It is shown that the unique positive equilibrium of the equation is globally asymptotically ...
متن کاملQualitative Behavior Of A Rational Difference Equation
* Correspondence: [email protected] Department of Basic Courses, Hebei Finance University, Baoding 071000, China Abstract This article is concerned with the following rational difference equation yn+1 = (yn + yn-1)/(p + ynyn-1) with the initial conditions; y-1, y0 are arbitrary positive real numbers, and p is positive constant. Locally asymptotical stability and global attractivity of the ...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2001
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(00)00311-4