[PDF] Top 20 Representations of general solutions to some classes of nonlinear difference equations

... difference equations, as one of the basic and oldest top- ics in the theory of difference equations, is if not the most interesting then certainly one of such ...difference equations up to the end of ... See full document

... difference equations constitute an important and interesting area of research in ...For some classical results concerning the solvability of some classes of par- tial difference ... See full document

... the general solutions to some special cases of the difference equations in (2), as well as the general solutions to some special cases of the corresponding two-dimensional ... See full document

... Motivated by the above papers 13, 14, we will obtain some new criteria for guaranteeing that 1.1 has one nontrivial homoclinic solution without any periodicity and generalize Theorem A. Especially, Fn, x satisfies ... See full document

... Hence it is natural for us to consider the case β = δ + 1. In the present papere, the mo- tivation comes from the recent papers [6, 7, 14, 18]. By virtue of the minimax methods with variational techniques, the ... See full document

... difference equations all over Europe (see, for example, Lacroix [65] (1816), Schlömilch [66] (1848), Boole [20] (1880, 1st ...of general mathematical culture, as something which is easily ... See full document

... meromorphic solutions of complex q-difference equations ...q-difference equations) instead of complex difference equation ...involved equations are more general than ...meromorphic ... See full document

... real, some new qualitative properties of the solutions like rotatory, expanding, shrinking, spiral and weblike were obtained for difference equation involving ... See full document

... period-two solutions to ...period-two solutions to either equation, or even for more general rational second-order equations, when such solutions ... See full document

... [2] R. P. Agarwal and P. J. Y. Wong, Advanced Topics in Difference Equations, Mathematics and its Applications, vol. 404, Kluwer, Dordrecht, 1997. MR 98i:39001. Zbl 878.39001. [3] S. S. Cheng, H. J. Li, and W. T. ... See full document

... the solutions of both convolution and non-convolution-type linear and nonlinear Volterra difference equations (see [1-17] and references ...the solutions of the discrete linear Volterra ... See full document

... Existence results related to pseudo almost periodic and almost automorphic solutions to the partial hyperbolic differential equations of the form 1.3 have recently been established in 12, 15–18, ... See full document

... meromorphic solutions of complex functional equations (see ...meromorphic solutions of q-difference equations and obtained results which extended some theorems given by Heittokangas et ... See full document

... many results on the growth and the exponent of convergence of the sequence of zeros of meromorphic solutions of (.). For instance, in [–], the authors considered the case when there is exactly only one ... See full document

... (3) By using tanh-coth method. These equations discussed by wazwaz[1] when .This paper is arranged as follows: In Section 2, we present concepts that make the chain rule is valid for fractional derivatives. In ... See full document

... meromorphic solutions of differ- ence equations have been investigated in many papers ...meromorphic solutions of q-difference ...meromorphic solutions of some q- difference ... See full document

... decreasing solutions approaching the zero equilibrium of higher-order nonlinear difference equations are related to the positive characteristic values of the corresponding linearized ... See full document

... for solutions of higher-order differential inequalities in arbitrary bounded domains are obtained in 8, Theorem 2 by using estimates on Green’s ...positive solutions for some polyharmonic ... See full document

... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 404582, 15 pages doi 10 1155/2010/404582 Research Article Further Extending Results of Some Classes of Complex D[.] ... See full document

... where R(z, ω) is rational in both of its arguments and has an admissible meromorphic solution of finite order, then either ω satisfies a difference Riccati equation, or equation (.) can be transformed by a linear change ... See full document