Rational difference equations
Investigation of the Class of the Rational Difference Equations
... This paper is concerned with asymptotic behavior of the solution of a new class of rational Difference Equations. We consider the local and global stabil- ity of the solution. Moreover we investigate ...
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Qualitative behavior of rational difference equations of higher order
... [13] E. A. Grove and G. Ladas, Periodicities in Nonlinear Difference Equations, Chapman & Hall/CRC, 2005. [14] E. A. Grove, C. M. Kent, G. Ladas, R. Levins, and S. Valicenti, Global stability in some ...
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The roles of conic sections and elliptic curves in the global dynamics of a class of planar systems of rational difference equations
... and their intersection points are precisely the equilibria of the system. This method was then used to establish a connection between the number of equilibria of the system and their local stability. The authors were ...
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On the system of rational difference equations xn+1 = f(xn ,yn k), yn+1 = f(yn , xn k)
... Recently there has been published quite a lot of works concerning the behavior of posi- tive solutions of systems of rational di ff erence equations [2–7]. These results are not only valuable in their own ...
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Dynamics of a two dimensional competitive system of rational difference equations with quadratic terms
... non-decreasing in x and non-increasing in y, and g(x, y) is non-increasing in x and non- decreasing in y. If both f and g are non-decreasing in x and y, system () is cooperative. Competitive and cooperative maps are ...
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Dynamics of a two dimensional system of rational difference equations of Leslie Gower type
... where S ⊂ ℝ 2 , (f, g): S ® S , f, g are continuous functions is competitive if f(x, y) is non-decreasing in x and non-increasing in y, and g(x, y) is non-increasing in x and non-decreasing in y. If both f and g are ...
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Global Behavior of Solutions to Two Classes of Second Order Rational Difference Equations
... v, w ∈ 0, ∞. Substituting x, y, u, and g in terms of v, w, s, and t into the expression for N one obtains a rational expression N/ D with positive denominator. The numerator N has some negative coefficients. At this ...
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Global dynamics of some systems of higher order rational difference equations
... difference equations and systems is a topic of great ...difference equations have appeared recently in many areas such as ecology, population dynamics, queuing problems, statistical problems, stochastic time ...
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Asymptotic Behavior of Equilibrium Point for a Family of Rational Difference Equations
... This paper presents the use of a variational iteration method for systems of nonlinear difference equations. This technique is a powerful tool for solving various difference equations and can also be applied ...
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Global Dynamics of a Competitive System of Rational Difference Equations in the Plane
... When the function f x, y is increasing in x and decreasing in y and the function gx, y is decreasing in x and increasing in y, the system 1.2 is called competitive. When the function fx, y is increasing in x and ...
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Dynamics of a fourth order system of rational difference equations
... difference equations developed greatly dur- ing the last twenty-five years of the twentieth ...difference equations also experienced enormous growth in many ...difference equations have appeared recently ...
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On the Solution of Some Difference Equations
... these equations is quite challenging and rewarding and is still in its ...nonlinear rational difference equations are of paramount importance in their own right, and furthermore we believe ...
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DYNAMICS OF THE RATIONAL DIFFERENCE EQUATION
... in rational difference equa- tions are still open to for research ...is rational difference equations has been significantly ...present rational difference equation which ...
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Dynamic behavior of a nonlinear rational difference equation and generalization
... The rest of this paper proceeds as follows. In Sect. 2, we introduce some definitions and preliminary lemmas. Section 3 contains the main results and their proofs. In Sect. 4, we prove the stability for generalized ...
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Qualitative behavior of a rational difference equation
... Difference equations are applied in the field of biology, engineer, physics, and so on ...of rational difference equations has been an area of intense interest in the recent years ...of ...
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Chaotification for linear delay difference equations
... This paper is concerned with chaotification of linear delay difference equations via the feedback control technique. The controlled system is first reformulated into a linear discrete dynamical system. Then, a ...
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Difference inequality for stability of impulsive difference equations with distributed delays
... impulsive difference equations with distributed ...delay difference inequality and using the properties of “r-cone” and eigenspace of the spectral radius of non-negative matrices, some new sufficient ...
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Partial Differential and Difference Equations
... and our general problem will be to determine sufficient conditions on the ars under which solutions of the difference equations will converge to the solutions of corresponding partial di[r] ...
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Transformations of Difference Equations I
... Our interest in this topic arose from the work done on transformations and factorisations of continuous as opposed to discrete Sturm-Liouville boundary value problems by, amongst others, Binding et al., notably 1, 2. We ...
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Transformations of Difference Equations II
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 623508, 23 pages doi 10 1155/2010/623508 Research Article Transformations of Difference Equations II Sonja Curri[.] ...
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