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R!kpe_(u!kpeN}!kpe!kpe\OUSMOfHomotopy Analysis Method for Solving (2+1)dimensional NavierStokes Equations with Perturbation TermsJi Juanjuan;Zhang Lanfang;In this paper Homotopy Analysis Method(HAM) is implemented for obtaining approximate solutions of(2+1)dimensional NavierStokes equations with perturbation terms. The initial approximations are obtained using linear systems of the NavierStokes equations; by the iterations formula of HAM, the first approximation solutions and the second approximation solutions are successively obtained and Homotopy Perturbation Method(HPM) is also used to solve these equations; finally,approximate solutions by HAM of(2+1)dimensional NavierStokes equations without perturbation terms and with perturbation terms are compared. Because of the freedom of choice the auxiliary parameter of HAM, the results demonstrate that the rapid convergence and the high accuracy of the HAM in solving NavierStokes equations; due to the effects of perturbation terms, the 3 rdorder approximation solutions by HAM and HPM have great fluctuation.80pef[xvzUGrowth of Solutions of Some Linear Difference Equations with Meromorphic CoefficientsTu Hongqiang;Liu Huifang;In this paper, we investigate the properties of solutions of some linear difference equations with meromorphic coefficients, and obtain some estimates on growth and value distribution of these meromorphic solutions.90Extensions of Modules with ACC on dannihilators6Ouyang Lunqun;Zhou Qiong;Liu Jinwang;Xiang Yueming;A unitary right Rmodule MR satisfies acc on dannihilators if for every sequence(a_n)_n of elements of R the ascending chain AnnM(a_1)% AnnM(a_1 a_2)%AnnM(a_1 a_2 a_3)%& of submodules of MR stabilizes. In this paper we first investigate some triangular matrix extensions of modules with acc on dannihilators. Then we show that under some additional conditions,the Ore extension module M[x]R[x;,]over the Ore extension ring R[x;,] satisfies acc on dannihilators if and only if the module MR satisfies acc on dannihilators. Consequently, several known results regarding modules with acc on dannihilators are extended to a more general setting.100Reversible Properties of Monoid Crossed ProductsYin Yue;Zhao Liang;Gu Qinqin;bWe study the reversible properties of monoid crossed products. The new class of strongly CMreversible rings is introduced and characterized. This class of rings is a generalization of those of strongly reversible rings, skew strongly reversible rings and strongly Mreversible rings. Some wellknown results on this subject are generalized and extended.=One Parameter Deformation of Symmetric Toda Lattice HierarchyXiong Zhen;&In this paper, we study one parameter deformation of full symmetric Toda hierarchy. This deformation is induced by HomLie algebras, or is the applications of HomLie algebras. We mainly consider three kinds of deformation, and give solutions to deformations respectively under some conditions.5On Lie 2bialgebrasQiao Yu;Zhao Jia;HA Lie 2bialgebra is a Lie 2algebra equipped with a compatible Lie 2coalgebra structure. In this paper, we give another equivalent description for Lie2bialgebras by using the structure maps and compatibility conditions. We can use this method to check whether a 2term direct sum of vector spaces is a Lie 2bialgebra easily.WOn the Coefficients of Several Classes of Biunivalent Functions Defined by ConvolutionGuo Dong;Li Zongtao;gIn this paper, we introduce several new subclasses of the function class of biunivalent functions analytic in the open unit disc defined by convolution.Furthermore, we investigate the bounds of the coefficients a2 and a3 for functions in these new subclasses. The results presented in this paper improve or generalize the recent works of other authors.gUnique Common Fixed Points for Two Weakly C~*contractive Mappings on Partially Ordered 2metric SpacesPiao Yongjie;In this paper, we give existenc< e theorems of common fixed points for two mappings with a weakly C*contractive condition on partially ordered 2metric spaces and give a sufficient condition under which there exists a unique common fixed point.:The Mod 2 Kauffman Bracket Skein Module of Thickened TorusYan Xinming;Sun Meng;Framed links in thickened torus are studied. We define the mod 2 Kauffman bracket skein module of thickened torus and give an expression of a framed link in this module. From this expression we propose a new ambient isotopic invariant of framed links.76Communications in Mathematical Research Aims and Scope<ck>Communications in Mathematical Research(CMR)is a comprehensive mathematical journal carrying original papers on pure and applied mathematics.It was launched in September,1985.The journal is formerly Northeastern Mathematical Journal(NMJ),and11Instructions to Contributorsm<ck>1.Papers to be published in CMR are required to be written in English.2.Manuscripts submitted to CMR are expected to be clear in exposition,valid in argument,concise in wording,and reliable in data.They should be submitted electronically along with the LaTex format and pdf files.3.A manuscript should begin with the title of the article,the authors name,and the13
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