一类超线性二阶Hamiltonian周期解的存在性（英文）

本文研究一类具新的超二次条件的二阶Hamiltonian系统周期解问题,利用同调环绕理论和Morse理论得到一些周期解的存在性结论.     

一类阻尼振动问题的周期解的存在性（英文）

本文致力于研究一类带阻尼问题周期解的存在性问题.借助于辅助函数,我们得到了一些新的超二次增长和渐进二次增长条件,利用临界点理论中的极大极小方法,获得一些新的存在性结果,推广了已有文献中相关存在性结论.     

局部渐近二次条件下带阻尼问题周期解的存在性

本文研究二阶带阻尼问题周期解的存在性问题.在局部渐近二次条件下,利用临界点理论,获得一些新的存在性结果,推广了已有文献的相关存在性结论.     

两两NQD序列与随机Dirichlet级数

本文研究了一类两两NQD序列加权乘积和的Jamison型强稳定性.利用两两NQD序列的一些极限理论,获得了系数的模为两两NQD列的一类随机Difichlet级数的增长性和值分布的一些新的结果,推广和改进了两两独立序列的相关结论.     

Z-C-X空间中一类随机方程解的存在性定理

在Z-C-X空间中利用优锥的概念,研究了随机半闭1-集压缩算子的若干问题.首先,证明了一个重要的不等式,其次,利用随机拓扑度理论证明了几个新的定理,从而得到一些新的结果.     

一类对称函数的Schur-几何凸性Schur-调和凸性

讨论一类对称函数的Schur-几何凸性和Schur-调和凸性.作为应用,利用控制理论,也得到一些新的分析不等式.     

泛函微分方程多个正周期解的存在性

考虑一类一阶非线性泛函微分方程,利用锥中的不动点理论给出存在多个正周期解的一些新的充分条件.     

具变时滞的细胞神经网络的周期解

本文研究了一类具变时滞细胞神经网络系统,利用重合度理论中的延拓定理、不等式的分析原理、矩阵理论和Lyapunov泛函方法,得到了该系统周期解的存在唯一性及全局指数稳定性的结论,不仅在一些应用领域上是可行的且易检验,而且为神经网络系统周期解的存在性论证,提供了一个新的有效方法.     

时标上具非正中立项的二阶动力方程的动力学性质

研究时标T上的一类具非正中立项的非线性非自治二阶动力方程的动力学性质.利用时标上的有关理论,并结合一些经典不等式,得到了该方程的一些新的动力学性质,进一步推广和完善了动力方程的动力学性质.     

多类复高阶q-平移差分方程组的解

利用亚纯函数的Nevanlinna值分布理论,研究了多类复高阶q-平移差分方程组的解的存在问题,得到了一些结果.推广和改进了一些文献的结论.例子表明作者的结论精确.     

A REPRESENTATION FORMULA RELATED TO SCHR(O)DINGER OPERATORS

Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V.     

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.     

On a class of Riemann surfaces

It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary.     

CONTENTS OF VOLUME 30

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Instructions for contributions

正Applied Mathematics-A Journal of Chinese Universities,Series B(Appl.Math.J.Chinese Univ.,Ser.B)is a comprehensive applied mathematics journal jointly sponsored by Zhejiang University,China Society for Industrial and Applied Mathematics,and Springer-Verlag.It is a quarterly journal with     

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:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.     

Staircase transportation problems with superadditive rewards and cumulative capacities

A cumulative-capacitated transportation problem is studied. The supply nodes and demand nodes are each chains. Shipments from a supply node to a demand node are possible only if the pair lies in a sublattice, or equivalently, in a staircase disjoint union of rectangles, of the product of the two chains. There are (lattice) superadditive upper bounds on the cumulative flows in all leading subrectangles of each rectangle. It is shown that there is a greatest cumulative flow formed by the natural generalization of the South-West Corner Rule that respects cumulative-flow capacities; it has maximum reward when the rewards are (lattice) superadditive; it is integer if the supplies, demands and capacities are integer; and it can be calculated myopically in linear time. The result is specialized to earlier work of Hoeffding (1940), Fréchet (1951), Lorentz (1953), Hoffman (1963) and Barnes and Hoffman (1985). Applications are given to extreme constrained bivariate distributions, optimal distribution with limited one-way product substitution and, generalizing results of Derman and Klein (1958), optimal sales with age-dependent rewards and capacities.To our friend, Philip Wolfe, with admiration and affection, on the occasion of his 65th birthday.Research was supported respectively by the IBM T.J. Watson and IBM Almaden Research Centers and is a minor revision of the IBM Research Report [6].