Rational difference equation
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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Qualitative behavior of a rational difference equation
... Difference equations are applied in the field of biology, engineer, physics, and so on [1]. The study of properties of rational difference equations has been an area of intense interest in the recent ...
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A Toy Biological Modelling Through a Delayed Rational Difference Equation
... as rational difference ...simple difference equation goes from a fixed point, through a sequence of bifurcations, into stable periodic cycles and finally into a regime of apparent ...a ...
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Global behavior of a higher order rational difference equation
... GLOBAL BEHAVIOR OF A HIGHER ORDER RATIONAL DIFFERENCE EQUATION HONGJIAN XI AND TAIXIANG SUN Received 17 January 2006; Revised 6 April 2006; Accepted 12 April 2006 We investigate in this paper the glob[.] ...
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Dynamics of a Rational Difference Equation
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 970720, 14 pages doi 10 1155/2010/970720 Research Article Dynamics of a Rational Difference Equation Xiu Mei Jia[.] ...
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Dynamics of the Nonlinear Rational Difference Equation Xn+1 = AXn + BXn−k + (pXn+Xn−k) / (q+Xn-k)
... of difference equations is a fertile research area and increasingly attracts many ...nonlinear difference equations are capable of producing a complicated behavior regardless its ...
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Global Analysis of Solutions of a New Class of Rational Difference Equation
... Thus, the solution is bounded and persists and the proof is complete. □ Conclusion 1. In this paper , we study a asymptotic behavior of solutions of a general class of difference Equation (1.1). Our results ...
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Dynamics of the nonlinear rational difference equation $x {n+1}=\dfrac{A x {n \alpha} x {n \beta}+B
... nonlinear difference equations are capable of producing a complicated behavior regardless its ...nonlinear difference equations in proving that every solution of these equations conver to a period two ...
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Convergence Results on a Second Order Rational Difference Equation with Quadratic Terms
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2009, Article ID 985161, 7 pages doi 10 1155/2009/985161 Research Article Convergence Results on a Second Order Rational Differen[.] ...
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On a Conjecture for a Higher Order Rational Difference Equation
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2009, Article ID 394635, 9 pages doi 10 1155/2009/394635 Research Article On a Conjecture for a Higher Order Rational Difference[.] ...
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Dynamic behavior of a nonlinear rational difference equation and generalization
... this equation is investigated by introducing a new sequence, which extends and includes corresponding results obtained in the references (Li in J Math Anal Appl 312:103-111, 2005; Berenhaut et ...
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Rate of convergence of solutions of rational difference equation of second order
... This equation was considered in [7], where the method of full limiting sequences was used to prove that the equilibrium is globally asymptotically stable for all values of param- eters B and ...
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Qualitative behavior of rational difference equations of higher order
... of Difference Equations has been growing ...that difference equations appear as mathematical models describing real life situations in probability theory, queuing theory, statistical problems, stochastic ...
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Rational Approximation for the one-Dimensional Bratu Equation
... In this paper we first obtain an approximate solution to the eigen- relation (5) then we transform the non-linear Bratu problem into a linear form and hence apply a collocation method that ensures that the polynomial ...
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Some results on a certain type of difference equation originated from difference Painlevé I equation
... Remark . We know that (.), (.), and (.) are difference Painlevé I equations. Why do we only consider the existence and forms of rational solutions of (.)? We cannot know the limits of the type · ∞ when ...
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On the Solutions of Difference Equation Systems with Padovan Numbers
... Nonlinear difference equations have long interested re- searchers in the field of mathematics as well as in other ...nonlinear difference equations from several authors ...Riccati difference equa- ...
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On rational solution of the state equation of a finite automaton
... Since tix is a polynomial over GF2, it follows that the Gdel numbers of the strings belonging to the end-set of the state qi form a periodic ultimately set with period k.. This completes[r] ...
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On an Exponential Type Fuzzy Difference Equation
... where A and the initial values are in a class of fuzzy numbers see Preliminaries. This equation is motivated by the corresponding ordinary difference equation which is posed in 4. Moreover, 1.6 is a special ...
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Dynamics of a fourth order system of rational difference equations
... In this paper, we study the equilibrium points, local asymptotic stability of an equilibrium point, instability of equilibrium points, periodicity behavior of positive solutions, and global character of an equilibrium ...
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Rational Recursion Operators for Integrable Differential–Difference Equations
... of difference operators, demonstrate their connections with Nijenhuis operators and give a criteria for the existence of weakly nonlocal inverse recursion operators for differential–difference ...of ...
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