一阶脉冲泛函微分方程周期边值问题

考虑脉冲泛函微分方程周期边值问题.利用一个新的比较结果, 构造了一个近似解序列, 并且获得了一个解的存在性结果.      

与单侧导数有关的两个结果

给出与单侧导数有关的两个结果,一是一个定积分结果的推广,另一个来自崔尚斌编《数学分析》中的一个习题.     

关于一维Moran集Hausdorff维数的一个新证明和 一个新结果

利用分形儿何中的技巧给出了关于一维Moran集Hausdorff维数的一个新证明和一个新结果,这可看做是对原有结果的一个有益补充.     

全纯函数的正规族

本文证明了两个正规族定理,分别改进了张国明、孙伟和庞学诚的一个结果和徐焱的一个结果.     

关于Minc-Sathre不等式的推广与加强

利用不等式的等价形式和一个已知不等式,将Minc-Sathre不等式推广和加强至一类正项等差数列,得出一个优于Minc-Sathre不等式的结果,并对这一结果提供一个应用实例.     

关于图的最大亏格的一个定理改进

一个图G的最大亏格γM（G）主要由其参数Betti亏数ξ（G）确定．本文改进Nebesky文［5］中关于ξ（G）的一个表示定理，从而得到关于ξ（G）的一个新结果；由此，给出几个已有结果的简单证明，且其中推广文［8］中的一个结果．     

一类三阶梯度流方程弱解的稳定性[英文]

本文研究R~3上的一类三阶梯度流方程弱解的稳定性问题.我们分别证明弱解的一个全局稳定性结果和一个渐近稳定性结果.所得结果改进了已有文献中的一些关于三阶梯度流方程弱解的稳定性结果.     

右连续p函数和半p函数

本文推广 Davidson 关于右连续 p 函数构造的一个结果,得到每个右连续半 p 函数必可表成一个取值于[0,1]中的常函数与一个标准半 p 函数的点乘积这个基本结果.     

导数具有相同1值点的亚纯函数的唯一性定理

本文给出了一个导数具有相同1值点的亚纯函数唯一性定理,回答了C.C.Yang的一个问题,纠正了K.Shibazaki的一个结果.例子表明本文结果是精确的.     

右连续p函数和半p函数

本文推广Davidson关于右连续p函数构造的一个结果,得到每个右连续半p函数必可表成一个取值于[0,1]中的常函数与一个标准半p函数的点乘积这个基本结果。     

Instructions for Authors

<正>Submission Authors must use LaTeX for typewriting,and visit our website www.actamath.com to submit your paper.Our address is Editorial Office of Acta Mathematica Sinica,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China.     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

正August 10-14,2015Beijin,China The International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

FRACTIONAL INTEGRALS OF THE WEIERSTRASS FUNCTIONS： THE EXACT BOX DIMENSION

The present paper investigates the fractal structure of fractional integrals of Weierstrass functions. The ezact box dimension for such functions many important cases is established. We need to point out that, although the result itself achieved in the present paper is interesting, the new technique and method should be emphasized. These novel ideas might be useful to establish the box dimension or Hausdorff dimension (especially for the lower bounds) for more general groups of functions.     

English Series

正1 Aims and Scope Acta Mathematicae Applicatae Sinica(English Series)is a quarterly journal established by the Chinese Mathematical Society.The journal publishes high quality research papers from all branches of applied mathematics,particularly welcomes those from partial differential equations,computational mathematics,applied probability,mathematical finance,statistics,dynamical systems,optimization and management science.     

CHINESE ANNALS OF MATHEMATICS SERIES B Volume 35 · 2014 TOTAL CONTENTS

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Congruences,ideals and annihilators in standard QBCC-algebras

We characterize congruence lattices of standard QBCC-algebras and their connection with the congruence lattices of congruence kernels. Work on the paper was supported by Council of Czech Government No J14/98:153100011.     

A decomposition of continuity via ideals

A new class of sets in ideal topological spaces is introduced and using these sets, a decomposition of continuity is given.      

On a class of self-similar processes with stationary increments in higher order Wiener chaoses

We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wavelet-like expansion of these processes. This allows us to compute the pointwise and local Hölder regularity of sample paths and to analyse their behaviour at infinity. We also provide some results on the Hausdorff dimension of the range and graphs of multidimensional anisotropic self-similar processes with stationary increments defined by multiple Wiener–Itô integrals.     

When a compact (countably compact) set is closed. II

We obtain (a) necessary and sufficient conditions and (b) sufficient conditions for a compact (countably compact) set to be closed in products (sequential products) and subspaces (sequential subspaces) of normal spaces. As a consequence of these, sufficient conditions are obtained for (i) the closedness of arbitrary (countable) union of closed sets and (ii) the equality of the union of the closures and the closure of the union of arbitrary (countable) families of sets in these spaces. It is also shown that these results do not hold for quotients of even T ₄,-spaces.