[PDF] Top 20 On a Conjecture for a Higher Order Rational Difference Equation
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On a Conjecture for a Higher Order Rational Difference Equation
... In the meantime, it turned out that the method used in 11 by C ¸ inar et al. can be used in confirming Conjecture 1.2 see also 12. More precisely 11, 12 use Corollary 3 from 13 in solving similar problems. For ... See full document
9
Dynamics of higher order rational difference equation $x_{n+1}=(\alpha+\beta x_{n})/(A + Bx_{n}+ Cx_{n-k})$
... are positive real numbers and k ∈ {1, 2, 3, . . .}. We give a detailed description of the semi-cycles of solutions and determine conditions under which the equilibrium points are globally asymptotically stable. In ... See full document
17
Dynamics of a fourth order system of rational difference equations
... which except (, ) are unstable. The linearization method is used to show that the equilib- rium point (, ) is locally asymptotically stable. We prove that the system has no prime period-two solutions. The main ... See full document
15
General solution to a higher order linear difference equation and existence of bounded solutions
... to equation () for the case k = , which had been presented at some talks and/or conferences during the last ...to equation () when k = in two different ...the equation has the general ... See full document
12
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[.] ... See full document
7
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 ... See full document
8
A Toy Biological Modelling Through a Delayed Rational Difference Equation
... The rational difference equations with delay surprisedly gained attention in modelling some of the complicated biological systems over last couple of ...th order delayed rational ... See full document
16
A classification scheme for nonoscillatory solutions of a higher order neutral difference equation
... Nonoscillatory solutions of a nonlinear neutral type higher order difference equations are classified by means of their asymptotic behaviors. By means of the Kranoselskii’s fixed point theorem, existence ... See full document
19
Higher order approximations of stochastic rational expectations models
... Using matrix representation of function derivatives instead of tensor representation we obtain simple expressions of matrix equations determining higher order terms.. JEL classification:[r] ... See full document
18
Dynamics and behavior of a higher order rational recursive sequence
... importantly, difference equations also appear in the study of discretization methods for differential ...of difference equations have been obtained as more or less natural discrete analogues of ... See full document
16
On a class of second order nonlinear difference equation
... second-order rational difference ...this equation, and the positive equilibrium point 1 of this equation is proved to be globally asymptotically ... See full document
9
A higher order blended compact difference (BCD) method for solving the general 2D linear second order partial differential equation
... fourth- order compact difference scheme with 9 grid points except under certain conditions men- tioned ...convergence order of the CCD2 scheme is less than six for some ...differential equation are ... See full document
21
Global dynamics of some systems of higher order rational difference equations
... of order greater than one are of paramount importance in ...of higher-order rational difference equations and to discuss the local asymptotic stability of their equilibrium ...of ... See full document
23
Oscillation of a higher order neutral difference equation with a forcing term
... [3] R. P. Agarwal, E. Thandapani, and P. J. Y. Wong, Oscillations of higher-order neutral differ- ence equations, Appl. Math. Lett. 10 (1997), no. 1, 71–78. CMP 97 07. Zbl 890.39019. [4] M. P. Chen, B. S. ... See full document
8
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[.] ... See full document
7
Dynamical behavior of a third order rational fuzzy difference equation
... difference equation is a difference equation where parameters and initial values are fuzzy numbers, and its solutions are sequences of fuzzy ...difference equation for the analysis of phenomena where ... See full document
18
Rate of convergence of solutions of rational difference equation of second order
... Equation (1.3) was studied in detail in [7, 10], where we have found the region of param- eters for which the equilibrium is globally asymptotically stable and the region where the equation has a unique ... See full document
19
ATTRACTIVITY OF A HIGHER ORDER NONLINEAR DIFFERENCE EQUATION
... Motivated by the above conjecture, more generally, our main aim in this paper is to investigate the local stability and the global attractivity of the equilibrium y of Eq.(1.1). Here, for the sake of convenience, ... See full document
12
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 ... See full document
11
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 ... See full document
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