 Afzal Muhammad;Guo Shuzheng;
In this paper, we use KAM methods to prove that there are positive measure Cantor sets such that for small perturbation parameters in these Cantor sets a class of almost periodic linear differential equations are reducible.
2019年01期 v.35 19页 [查看摘要][在线阅读][下载 168K]
 Zhu Xiaoyuan;Hao Honghua;Xin Bin;
This article mainly discusses the direct sum decomposition of type G_2 Lie algebra, which, under such decomposition, is decomposed into a type A_1 simple Lie algebra and one of its modules. Four theorems are given to describe this module,which could be the direct sum of two or three irreducible modules, or the direct sum of weight modules and trivial modules, or the highest weight module.
2019年01期 v.35 1020页 [查看摘要][在线阅读][下载 177K]
 Zhang Kangqun;
Fundamental solution of Dirichlet boundary value problem of axisymmetric Helmholtz equation is constructed via modi?ed Bessel function of the second kind, which uni?ed the formulas of fundamental solution of Helmholtz equation, elliptic type EulerPoissonDarboux equation and Laplace equation in any dimensional space.
2019年01期 v.35 2126页 [查看摘要][在线阅读][下载 146K]
 Zhang Juan;Wang WeiDong;
In this paper, combining with the L_pdual geominimal surface area and the general L_pcentroid bodies, we research the Shephard type problems for general L_pcentroid bodies.
2019年01期 v.35 2734页 [查看摘要][在线阅读][下载 163K]
 Cheng Ming;
We study in this article the compressible heatconducting NavierStokes equations in periodic domain driven by a timeperiodic external force. The existence of the strong timeperiodic solution is established by a new approach. First, we reformulate the system and consider some decay estimates of the linearized system.Under some smallness and symmetry assumptions on the external force, the existence of the timeperiodic solution of the linearized system is then identi?ed as the ?xed point of a Poincare′ map which is obtained by the Tychonoff ?xed point theorem.Although the Tychonoff ?xed point theorem cannot directly ensure the uniqueness,but we could construct a setvalued function, the ?xed point of which is the timeperiodic solution of the original system. At last, the existence of the ?xed point is obtained by the Kakutani ?xed point theorem. In addition, the uniqueness of timeperiodic solution is also studied.
2019年01期 v.35 3556页 [查看摘要][在线阅读][下载 221K]
 Guo Dong;Tang Huo;Ao En;Xiong Liangpeng;
In this paper, we investigate the coefficient estimates of a class of mfold biunivalent function de?ned by subordination. The results presented in this paper improve or generalize the recent works of other authors.
2019年01期 v.35 5764页 [查看摘要][在线阅读][下载 162K]
 Xu Qingbing;Zhang Kongsheng;
Let A be a Frobenius kalgebra. The matrix algebra R =(■) is called a generalized matrix algebra over a Frobenius algebra A. In this paper we show that R is also a Frobenius algebra.
2019年01期 v.35 6574页 [查看摘要][在线阅读][下载 171K]
 Guo Wenkui;Niu Feifei;
Linked partitions were introduced by Dykema(Dykema K J. Multilinear function series and transforms in free probability theory. Adv. Math., 2005, 208(1):351–407) in the study of the unsymmetrized Ttransform in free probability theory.Permutation is one of the most classical combinatorial structures. According to the linear representation of linked partitions, Chen et al.(Chen W Y C, Wu S Y J, Yan C H. Linked partitions and linked cycles. European J. Combin., 2008, 29(6): 1408–1426) de?ned the concept of singly covered minimal elements. Let L(n, k) denote the set of linked partitions of [n] with k singly covered minimal elements and let P(n, k) denote the set of permutations of [n] with k cycles. In this paper, we mainly establish two bijections between L(n, k) and P(n, k). The two bijections from a different perspective show the onetoone correspondence between the singly covered minimal elements in L(n, k) and the cycles in P(n, k).
2019年01期 v.35 7580页 [查看摘要][在线阅读][下载 188K]
 Cheng Yongsheng;Wu Linli;Wang Panyin;
In this paper,we compute RotaBaxter operators on the 3dimensional Lie algebra g whose derived algebra’s dimension is 2.Furthermore,we give the corresponding solutions of the classical YangBaxter equation in the 6dimensional Lie algebras g ■ _(ad~*) g~* and some new structures of leftsymmetric algebra induced from g and its RotaBaxter operators.
2019年01期 v.35 8196页 [查看摘要][在线阅读][下载 184K]
<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 Ma.thematical Journal (NMJ), a.nd publishes quarterly. The primary purpose is to present the latest achievements in mathemat
2019年01期 v.35 97页 [查看摘要][在线阅读][下载 464K]

<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
2019年01期 v.35 97页 [查看摘要][在线阅读][下载 464K]
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