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  • Pullback Attractor of a Non-autonomous Model for Epitaxial Growth

    DUAN NING;ZHAO XIAO-PENG;Gao Wen-jie;

    In this paper,we consider a non-autonomous model for epitaxial growth.It is shown that a pullback attractor of the model exists when the external force has exponential growth.

    2018年04期 v.34 289-295页 [查看摘要][在线阅读][下载 155K]
  • A Note on Comparison Between the Wiener Index and the Zagreb Indices

    YOU ZHI-FU;HUANG YU-FEI;Du Xian-kun;

    In this note,we correct a wrong result in a paper of Das et al.with regard to the comparison between the Wiener index and the Zagreb indices for trees(Das K C,Jeon H,Trinajsti N.The comparison between the Wiener index and the Zagreb indices and the eccentric connectivity index for trees.Discrete Appl.Math.,2014,171: 35–41),and give a simple way to compare the Wiener index and the Zagreb indices for trees.Moreover,the comparison between the Wiener index and the Zagreb indices for unicyclic graphs is carried out.

    2018年04期 v.34 296-302页 [查看摘要][在线阅读][下载 166K]
  • Coefficient Estimates for a Subclass of Bi-univalent Strongly Quasi-starlike Functions

    LI ZONG-TAO;GUO DONG;Ji You-qing;

    The aim of this paper is to establish the Fekete-Szeg inequality for a subclass of bi-univalent strongly quasi-starlike functions which is defined in the open unit disk.Furthermore,the coefficients a_2 and a_3 for functions in this new subclass are estimated.

    2018年04期 v.34 303-308页 [查看摘要][在线阅读][下载 145K]
  • Iterative Learning Control for a Class of Linear Continuous-time Switched Systems with Fixed Initial Shifts

    XU GUANG-ZHAO;FU QIN;DU LI-LI;WU JIAN-RONG;YU PENG-FEI;Li Yong;

    This paper deals with the problem of iterative learning control for a class of linear continuous-time switched systems in the presence of a fixed initial shift.Here,the considered switched systems are operated during a finite time interval repetitively.According to the characteristics of the systems,a PD-type learning scheme is proposed for such switched systems with arbitrary switching rules,and the corresponding output limiting trajectories under the action of the PD-type learning scheme are given.Based on the contraction mapping method,it is shown that this scheme can guarantee the outputs of the systems converge uniformly to the output limiting trajectories of the systems over the whole time interval.Furthermore,the initial rectifying strategies are applied to the systems for eliminating the effect of the fixed initial shift.When the learning scheme is applied to the systems,the outputs of the systems can converge to the desired reference trajectories over a pre-specified interval.Finally,simulation examples illustrate the effectiveness of the proposed method.

    2018年04期 v.34 309-328页 [查看摘要][在线阅读][下载 341K]
  • Planar Cardinal Spline Curves with Minimum Strain Energy

    LI JUN-CHENG;Ma Fu-ming;

    In this paper,we focus on how to use strain energy minimization to obtain the optimal value of the free parameter of the planar Cardinal spline curves.The unique solution can be easily obtained by minimizing an appropriate approximation of the strain energy.An example is presented to illustrate the effectiveness of our method.

    2018年04期 v.34 329-334页 [查看摘要][在线阅读][下载 237K]
  • The Twisted Transfer Variety

    CHEN YANG;NAN JI-ZHU;Du Xian-kun;

    In this paper,we describe the variety defined by the twisted transfer ideal.It turns out that this variety is nothing but the union of reflecting hyperplanes and the fixed subspaces of the elements of order p in G.

    2018年04期 v.34 335-342页 [查看摘要][在线阅读][下载 167K]
  • Partial or Truncated Sharing Values of Meromorphic Functions with Their Shifts

    LIAN GUI;CHEN JUN-FAN;CAI XIAO-HUA;Ji You-qing;

    We mainly study the periodicity theorems of meromorphic functions having truncated or partial sharing values with their shifts,where meromorphic functions are of hyper order less than 1 and N(r,f) = αT(r,f) for some positive number α.

    2018年04期 v.34 343-350页 [查看摘要][在线阅读][下载 152K]
  • Hermite-Hadamard Type Fractional Integral Inequalities for Preinvex Functions

    LIAN TIE-YAN;TANG WEI;ZHOU RUI;Ji You-qing;

    In this article,we extend some estimates of the right-hand side of the Hermite-Hadamard type inequality for preinvex functions with fractional integral.The notion of logarithmically s-Godunova-Levin-preinvex function in second sense is introduced and then a new Hermite-Hadamard inequality is derived for the class of logarithmically s-Godunova-Levin-preinvex function.

    2018年04期 v.34 351-362页 [查看摘要][在线阅读][下载 178K]
  • Location of Zeros for the Weak Solution to a p-Ginzburg-Landau Problem

    ZHAN DE-SHENG;Wang Chun-peng;

    This paper is concerned with the asymptotic behavior of the solution u_ε of a p-Ginzburg-Landau system with the radial initial-boundary data.The author proves that the zeros of uε in the parabolic domain B_1(0) ×(0,T ] locate near the axial line {0} ×(0,T ].In particular,all the zeros converge to this axial line when the parameter ε goes to zero.

    2018年04期 v.34 363-370页 [查看摘要][在线阅读][下载 174K]
  • Boundedness of Marcinkiewicz Integrals in Weighted Variable Exponent Herz-Morrey Spaces

    XIAO DAN;SHU LI-SHENG;Ji You-qing;

    In this paper,under natural regularity assumptions on the exponent function,we prove some boundedness results for the functions of Littlewood-Paley,Lusin and Marcinkiewicz on a new class of generalized Herz-Morrey spaces with weight and variable exponent,which essentially extend some known results.

    2018年04期 v.34 371-382页 [查看摘要][在线阅读][下载 189K]
  • COMMUNICATIONS IN MATHEMATICAL RESEARCH Vol.34 2018

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    2018年04期 v.34 383-384页 [查看摘要][在线阅读][下载 24K]
  • Communications in Mathematical Research

    <正>Aims and Scope 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 publishes quarterly. The primary purpose is to present the latest achievements in mathemat-

    2018年04期 v.34 385页 [查看摘要][在线阅读][下载 444K]
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