Qualitative Behavior of Rational Difference Equation of Big Order

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Qualitative Behavior of Rational Difference Equation of Big Order

Recently, there has been a lot of interest in studying the global attractivity, the boundedness character, and the periodicity nature of nonlinear difference equations see for example, [1– 22]. The study of the nonlinear rational difference equations of a higher order is quite challenging and rewarding, and the results about these equations offer prototypes towards the development of the basic ...

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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.  

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Qualitative 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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Qualitative 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: Discrete Dynamics in Nature and Society

سال: 2013

ISSN: 1026-0226,1607-887X

DOI: 10.1155/2013/495838