关于一个多滞量周期Logistic方程

证明了方程的周期正解的存在性,并获得了该周期正解为全局吸引的充分条件。     

N种群周期系数非线性关系捕食—竞争系统的定性分析

本文应用比较定理，Ｂｒｏｕｗｅｒ不动点定理和Ｖ函数方法，讨论了Ｎ种群周期系数非线性关系捕食－竞争系统的正解的有界性，正周期解的存在性，正周期解的全局吸引性及唯一性。     

时滞种群匠正周期解对所有正解的吸引性

建立了对数种群模型的周期正解的存在性，并得到了正周期解对所有正解的吸引性。     

具时滞Lotka-Volterra互惠系统的全局吸引性

利用Ｌｉａｐｕｎｏｖ泛函方法，讨论了具时滞非自治Ｌｏｔｋａ Ｖｏｌｔｅｒｒａ互惠系统周期正解的全局 吸引性，推广了文［１］已知相关结果．     

一类具有外部食物资源和随机干扰的非自治捕食与被捕食模型动力学研究（英文）

本文提出一类具有外部食物资源和季节转换的随机Lotka-Volterra捕食模型,得到模型全局正解的存在性与有界性.进一步,通过采用构造合适的Lyapunov函数、比较原理等方法,分别得到模型周期解的存在性与全局吸引性、种群的持久性与灭绝性,并讨论了白噪声对种群的影响.     

多物种生态竞争系统周期正解的存在性和全局吸引性

利用重合度理论中的延拓定理和Lyapunov泛函方法讨论了一类具有多个滞量的多物种生态竞争系统周期正解的存在性和全局吸引性,得到了一些新的结果．实例表明我们的结果更加广泛,更加便于应用．     

具有杀虫剂函数作用的害虫治理SI随机模型的研究

文章建立了一类具有杀虫剂函数作用的SI随机模型.通过构造比较系统,利用随机微分方程的比较定理等方法,证明了系统全局正解的存在性,均值有界性和害虫灭绝随机周期解的全局吸引性,确定了易感害虫非平均持续生存和染病害虫灭绝的充分条件,进而研究了系统的一些动力学行为.     

一类时滞微分系统的周期解

研究了一类具分布时滞的一阶微分系统的周期解的存在性和全局吸引性.先通过利用重合度理论中的Mawhin延拓定理讨论了周期解的存在性,建立了一些判断准则;进而通过构造适当的Lyapunov泛函以及周期解的存在性结果研究了该类时滞微分系统的周期解的全局吸引性,获得了保证其周期解全局吸引的充分性条件.     

一类具有时滞及反馈控制的非自治非线性比率依赖食物链模型

该文研究了一类具有时滞和反馈控制的三种群非线性非自治比率依赖的食物链模型.首先,基于时滞微分不等式理论,提出了一些新的分析方法,并构造了一个合适的李亚普诺夫函数.其次,得到了系统正解的持久性和全局吸引性的充分条件.第三,利用理论分析和不动点理论,讨论了相应的周期系统,建立了周期系统正周期解的存在性、唯一性和稳定性的充分...     

一个周期中立型对数种群模型

本文获得了周期中立型对数种群模型N(t)=N(t)(r(t)-α(t)log[N(t-σ)]-b(t)d/dtlog[N(t-r)])的周期正解的存在性及对所有正解的吸引性．     

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.      

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.     

ASYMPTOTIC BEHAVIOR OF ECKHOFF＇S METHOD FOR FOURIER SERIES CONVERGENCE ACCELERATION

The current paper considers the problem of recovering a function using a limited number of its Fourier coefficients. Specifically, a method based on Bernoulli-like polynomials suggested and developed by Krylov, Lanczos, Gottlieb and Eckhoff is examined. Asymptotic behavior of approximate calculation of the so-called ＂jumps＂ is studied and asymptotic L2 constants of the rate of convergence of the method are computed.