[PDF] Top 20 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

... Although difference equations are sometimes very simple in their forms ,they are extremely difficult to understand thoroughly the behavior of their solutions ...global behavior of nonlinear ... See full document

... Rational difference equations that are the ratio of two polynomials are one of the most important and practical classes of nonlinear difference equations. Marwan Aloqeili [] investigated the stability ... See full document

... 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 ... See full document

... integrable generalization of the nonlinear Schrödinger equation that arises as a model for nonlinear pulse propagation in monomode optical ...dynamics behavior of the first-, second-, ... See full document

... In this section, we consider the existence and asymptotic behavior of nonoscillatory solution of 1.3. Because all solutions of 1.3 are nonnegative, relative to the zero equilibrium point y 1 , every solution of ... See full document

... appropriate difference equation to model a situation? how does one understand the behaviour of the difference equation model once it has been formed? There is no scopes of confusion that the ... See full document

... of nonlinear difference equations is of paramount importance not only in their own field but in understanding the behavior of their differential ...asymptotic behavior of solutions of rational ... See full document

... of nonlinear difference equations has been an area of intense interest in recent ...asymptotic behavior of solutions of rational difference equations ... See full document

... 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

... This paper is concerned with the initial value problem to a nonlinear fractional difference equation with the Caputo like difference operator. By means of some fixed point theorems, global and local existence ... See full document

... A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories International Journal in IT and Engineering.. http:/[r] ... See full document

... a nonlinear equilibrium equation into the optimal design of structures where a linear equation has been mostly used to ...kinematic nonlinear effects enter the equilibrium equation, ... See full document

... second-order rational difference ...this equation, and the positive equilibrium point 1 of this equation is proved to be globally asymptotically ... See full document

... We have introduced a new generalization of the Riemann zeta function. A special case of our generalization converges locally uniformly to the Riemann zeta function in the critical strip. It approximates the ... See full document

... (DoF). Dynamic position control of robot manipulators is a well known problem in control engineering due to the multi-input-multi-output nonlinear behaviour of their equation of ...the dynamic ... See full document

... 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 ... See full document

... 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 ... See full document

... The theory of time scales, which has recently received a lot of attention, was introduced by Hilger in his Ph. D. thesis [1] in order to unify continuous and discrete analysis. A time scale T is an arbitrary nonempty ... See full document

... That is, we will investigate the global behavior of 1.1 including the asymptotical stability of equilibrium points, the existence of bounded solution, the existence of period two solutio[r] ... See full document