[PDF] Top 20 The Periodic Character of the Difference Equation

... difference equation and deal with the question of whether every positive solution of this equation converges to a periodic ...boundedness character, and the periodic nature of nonlinear ... See full document

... of equation (), which is obviously also solvable; see also [] and the comments on scaling indices of difference equations and ...of equation () (see, ... See full document

... In this section we shall study the unstable solutions of the rational difference equation (2.1). Study of such solutions are previously made in many articles which include [19, 20, 21, 22, 23]. In the ... See full document

... difference equation. We shall show how the dynamical behavior of a simple difference equation goes from a fixed point, through a sequence of bifurcations, into stable periodic cycles ... See full document

... Almost periodic sequences. We review definitions of (uniformly) almost periodic and asymptotically almost periodic sequences, which have been discussed by several au- thors (see, ...almost ... See full document

... multi-soliton periodic travelling wave solutions, which are governed by a Hamiltonian in canonical coordinates in position and velocity space, rather than Fourier ...further difference is that the ... See full document

... slight difference between them ...any equation, as it is always considered seperate of any group in the periodic table of ...consider equation 1 and place atomic numbers 117 and 188, the ... See full document

... In chapter four we consider several other properties of the positive case. First we consider the preperiod, which is how long an initial point takes to become periodic. Systems are divided into two classes, those ... See full document

... But “a question ” of mathematics and biology is whether stable and sustained oscillation possible for 1.1, when αβ > 1, increases. In the present paper, we provide a detailed analysis of these questions. Regarding β ... See full document

... Abstract. We study the oscillatory behavior, the periodicity and the asymptotic behavior of the positive solutions of the system of two nonlinear difference equations x n+1 = A + x n−1 /y n and y n+1 = A+ y n−1 /x n , ... See full document

... (resp., odd) positive integers, every positive solution of (3.19) tends to a periodic solution of period 2r; otherwise, every positive solution of (3.19) tends to a periodic solution of period r. Proof. (I) ... See full document

... Our next example is 3.3, known as stationary Ginzubrg-Landau equation with cubic-quintic nonlinearity. We refer to 18, 19 and references therein. From physical point of view it is interesting the case bk b, ck c, ... See full document

... subject to diverse boundary conditions have been investigated by several authors; we re- fer the reader to [4–6] and the references therein. For example, Bereanu and Mawhin [4] proved some existence results of solutions ... See full document

... The periodic solution theory of differential equation and difference equation has impor- tant academic value and application ...the periodic solutions of neutral difference equations are ... See full document

... Based on a fixed point theorem in a cone, a new sufficient condition for the existence of a positive periodic solution to a class of higher-order functional difference equations is established in this ... See full document

... difference equation in the title, that is, the global asymptotical stability of zero equilibrium, the existence of unbounded solutions, the existence of period two solutions, the existence of oscillatory solutions, ... See full document

... coincidence equation Lx = Nx, where L is a Fredholm operator of index zero and N is a nonlinear oper- ator, and to apply the Leggett-Williams norm-type theorem for coincidences obtained by O’Regan and Zima ... See full document

... The zeros of difference of meromorphic solutions for the difference Riccati equation Peng and Chen Advances in Difference Equations (2015) 2015 365 DOI 10 1186/s13662 015 0668 3 R E S E A R C H Open A[.] ... See full document

... Renaissance character, Hamlet is suffering from the hangover between the medieval belief of superstition and reason, the belief of ...Renaissance character, Hamlet feels deeply and watches others to see ... See full document

... Hindawi Publishing Corporation Advances in Difference Equations Volume 2009, Article ID 463169, 11 pages doi 10 1155/2009/463169 Research Article On Boundedness of Solutions of the Difference Equation[.] ... See full document