Journal of Mathematical Research with Applications Guide for Authors

<正>Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:     

科学计算应用程序探讨

科学计算应用程序是科学计算研究的成果集成,其研制不同于通常的计算机应用软件.随着科学计算研究的不断深入和高性能计算机的迅猛发展,应用程序越来越依赖于实际应用和高性能计算的交叉融合,迫切需要革新程序的研制思路,发展研制方法.文章简要介绍了科学计算应用程序的主要特征,分析了应用程序面临的主要困难,探讨了研制应用程序的新思路和新方法.     

XBRL实施战略：内置法

实施XBRL（可扩展商业报告语言）的方法之一内置法（built－in approach），即XBRL内置于报告流程中。一般而言，内置法要求所使用的合并／报告应用程序支持XBRL分类法。因此，转换成XBRL就成了报告流程的一种自然延伸，而不是从人工转换的Excel电子数据表中输出的又一个与基本系统和数据毫不相关的信息。     

QUASILINEAR-ADDITIVE PROPERTIES AND APPLICATIONS

In this article, the authors study some basic properties of the so-called quasilinear- additive functions, and some applications to the special functions of quasiconformal analysis are specified.     

Schur Convexity for Two Classes of Symmetric Functions and Their Applications

For x =(x1, x2, ···, xn) ∈ Rn+∪ Rn-, the symmetric functions Fn(x, r) and Gn(x, r) are defined by r1 + xFij n(x, r) = Fn(x1, x2, ···, xn; r) =x1≤iij1i2···ir ≤n j=1and r1- xGij n(x, r) = Gn(x1, x2, ···, xn; r) =,x1≤i1i2···ir ≤n j=1ij respectively, where r = 1, 2, ···, n, and i1, i2, ···, in are positive integers. In this paper,the Schur convexity of Fn(x, r) and Gn(x, r) are discussed. As applications, by a bijective transformation of independent variable for a Schur convex function, the authors obtain Schur convexity for some other symmetric functions, which subsumes the main results in recent literature; and by use of the theory of majorization establish some inequalities. In particular, the authors derive from the results of this paper the Weierstrass inequalities and the Ky Fan's inequality, and give a generalization of Safta's conjecture in the n-dimensional space and others.     

FIXED POINT RESULTS ON METRIC-TYPE SPACES

In this paper we obtain fixed point and common fixed point theorems for self- mappings defined on a metric-type space, an ordered metric-type space or a normal cone metric space. Moreover, some examples and an application to integral equations are given to illustrate the usability of the obtained results.     

STABILITY RESULTS OF RANDOM IMPULSIVE SEMILINEAR DIFFERENTIAL EQUATIONS

In this paper, we study the existence, uniqueness, continuous dependence, Ulam stabilities and exponential stability of random impulsive semilineax differential equations under sufficient condition. The results are obtained by using the contraction mapping principle. Finally an example is given to illustrate the applications of the abstract results.