[PDF] Top 20 Growth of solutions of some kinds of linear difference equations

... 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

... the growth of meromorphic solutions of certain linear difference equations with meromorphic ...meromorphic solutions of a nonhomogeneous linear difference ...still some ... See full document

... Recently, some results about the connections between complex dynamics with linear differential equations have been obtained; see [10, ...view. Some notations of complex dy- namics are needed; ... See full document

... Liu Advances in Difference Equations 2013, 2013 60 http //www advancesindifferenceequations com/content/2013/1/60 R ES EA RCH Open Access On growth of meromorphic solutions for linear difference equat[.] ... See full document

... difference equations and difference analogues of Nevanlinna theory. For the growth of meromorphic solutions of difference equations, Chiang and Feng [, ] considered the polynomial coefficients ... See full document

... the growth of meromorphic solutions of some linear difference ...obtain some results on the growth of meromorphic solutions when most coefficients in such equations ... See full document

... a linear non-homogeneous time-invariant difference ...adjoint linear recursive equations; this usually shows several new features of the solution ... See full document

... the asymptotic characterization of the recessive solution is different. In fact, in such a case, equation (1.1) does not have solutions u satisfying (2.2), as it can be proved using a similar argument, with minor ... See full document

... the solutions of Volterra difference equations is extensive, and application of this theory is rapidly increasing to various ...difference equations, we choose to refer to the books by Agarwal 1, ... See full document

... complex solutions [, ...and some Lie algebras to propose a powerful method for generating integrable differential-difference hierarchies and the cor- responding Hamiltonian ...scheme, some related ... See full document

... difference equations due to their practical applications in evolutionary biology, neural networks, and ecology ...piecewise linear difference equations [, ... See full document

... Nonoscillatory solutions of ...dominant solutions, according to their asymptotic behavior, see below for the ...intermediate solutions is a difficult problem also in the continuous ...nonoscillatory ... See full document

... 9. Liu, K., Liu, X., Cao, T.B. : Value distribution of the difference opera- tor, Advances in Difference equations, Vol.2011, Art ID 234215,12 pages. 10. Yang, C.C., Hua, X.H.: Uniqueness and value ... See full document

... the growth and poles of solutions of some classes of systems of complex difference equations and obtain some interesting results such as the lower bounds for Nevanlinna lower order, a ... See full document

... general solutions to three related classes of nonlinear difference equations in terms of specially chosen solutions to linear difference equations with constant coefficients are ...extend ... See full document

... and growth of meromorphic solutions of differ- ence equations have been investigated in many papers ...meromorphic solutions of q-difference ...the growth problem of transcendental ... See full document

... We should point out here that the operator  is the counterpart of the derivative operator in calculus. Both operators and share one of the helpful fea- tures of the derivative operator , namely, the property of ... See full document

... However, when n =  and g(z) has a specific relationship with f (z) in (.), the problem that whether we can obtain the accurate expressions of entire solutions or not is worth to be considered. Recently, many ... See full document

... In this paper, we will assume that the reader is familiar with the fundamental results and the standard notations of the Nevanlinna’s value distribution theory of meromorphic functions e.g., see 1–3. In addition, we will ... See full document

... meromorphic solutions of complex difference equations owing to the introduction of Nevanlinna theory in this ...q-difference equations is an important component of the study of com- plex differences and ... See full document