 Ji 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.
2018年01期 114页 [查看摘要][在线阅读][下载 929K]
 Tu 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.
2018年01期 1522页 [查看摘要][在线阅读][下载 150K]
 Ouyang 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;α,δ]over the Ore extension ring R[x;α,δ] 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.
2018年01期 2335页 [查看摘要][在线阅读][下载 179K]
 Yin Yue;Zhao Liang;Gu Qinqin;
We 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.
2018年01期 3646页 [查看摘要][在线阅读][下载 166K]
 Xiong 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.
2018年01期 4753页 [查看摘要][在线阅读][下载 150K]
 Qiao Yu;Zhao Jia;
A 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.
2018年01期 5464页 [查看摘要][在线阅读][下载 168K]
 Guo Dong;Li Zongtao;
In this paper, we introduce several new subclasses of the function class Σ 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.
2018年01期 6576页 [查看摘要][在线阅读][下载 169K]
 Piao Yongjie;
In this paper, we give existence 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.
2018年01期 7788页 [查看摘要][在线阅读][下载 165K]
 Yan 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.
2018年01期 8996页 [查看摘要][在线阅读][下载 192K]
<正>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),and
2018年01期 97页 [查看摘要][在线阅读][下载 463K]

<正>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 the
2018年01期 97页 [查看摘要][在线阅读][下载 463K]
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