EXISTENCE OF TWO PERIODIC SOLUTIONS TO n-DIMENSIONAL NEUTRAL FUNCTIONAL DIFFERENTIAL SYSTEM

In this paper,some suffcient criteria for the existence and the multiplicity of positive periodic solutions to a class of first-order n-dimensional neutral functional differential system are established. Our main results generalize related studies in the previous literatures. The fixed point theorem in cones is required to prove our results.     

SBV REGULARITY OF GENUINELY NONLINEAR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS IN ONE SPACE DIMENSION Dedicated to Professor Constantine M. Dafermos on the occasion of his 70th birthday

The problem of the presence of Cantor part in the derivative of a solution to a hyperbolic system of conservation laws is considered.An overview of the techniques involved in the proof is given,and a collection of related problems concludes the paper.     

ASYMPTOTIC STABILITY OF A CLASS OF NONLINEAR NEUTRAL-TYPE SYSTEMS

By Lyapunov functional method, sufficient conditions for the asymptotic stability of a class of neutral-type systems are discussed in this paper. This work extends some results on the stability of neutral-type systems in the previous papers. Several numerical examples are listed in the end of this paper to confirm our results.     

MULTIPLE POSITIVE PERIODIC SOLUTIONS IN A IMPULSIVE PREDATOR-PREY SYSTEM WITH TYPEⅣFUNCTIONAL RESPONSES

The main purpose of this paper is to explore the existence of positive periodic solutions to impulsive predator-prey systems with typeⅣfunctional responses. Sufficient criteria are obtained for the existence of strictly positive periodic solutions.The approach is based on a continuation theorem in the coincidence degree theory as well as some prior estimates.This is also the first time that multiple positive periodic solutions are obtained using coincidence degree theory in impulsive ecological systems.     

MULTIPLICITY OF PERIODIC SOLUTIONS FOR SECOND ORDER HAMILTONIAN SYSTEMS WITH MIXED NONLINEARITIES

The multiplicity of periodic solutions for a class of second order Hamiltonian system with superquadratic plus subquadratic nonlinearity is studied in this paper.Obtained via the Symmetric Mountain Pass Lemma,two results about infinitely many periodic solutions of the systems extend some previously known results.     

ASYMPTOTICALLY ALMOST PERIODIC FUNCTIONS IN PROBABILITY

In this paper, we first study the properties of asymptotically almost periodic functions in probability and then prove the existence of almost periodic solutions in probability to some differential equations with random terms.     

DYNAMICS OF RELATIVISTIC FLUID FOR COMPRESSIBLE GAS

In this paper the relativistic fluid dynamics for compressible gas is studied.We show that the strict convexity of the negative thermodynamical entropy preserves invariant under the Lorentz transformation if and only if the local speed of sound in this gas is strictly less than that of light in the vacuum.A symmetric form for the equations of relativistic hydrodynamics is presented,and thus the local classical solutions to these equations can be deduced.At last,the non-relativistic limits of these local cla...     

增生映射的扰动理论对与广义(p,q)-Laplace算子相关的非线性椭圆系的应用

Using perturbation results on the sums of ranges of nonlinear accretive mappings of Calvert and Gupta, we present some abstract results for the existence of the solutions of nonlinear Neumann elliptic systems which is related to the so-called generalized （p, q）-Laplacian in this paper. The systems discussed in this paper and the method used extend and complement some of the previous work.     

具无穷时滞退化中立型微分系统的周期解(英文)

In this paper,we discuss the periodic solutions of the nonlinear singular neutral differential systems with infinite delay.By using matrix measure and Krasnoselskii＇s fixed point theorem,we obtained the suffcient conditions of the existence of periodic solutions.     

发展型p-Laplacian 方程组的周期解

In this paper, the authors study the existence of periodic solutions to an evolution p-Laplacian system. The authors prove a comparison principle of the system in general form. Then the existence of periodic solutions to the system of evolution p-Laplacian equations is obtained with the help of the comparison principle and the monotone iteration technique.     

试卷质量的灰色综合评判

李文革．试卷质量的灰色综合评判．数理统计与管理，１９９７，１６（４），４２～４５．本文运用灰色综合评判评价了文［１］中的七套试卷，得到了与文［１］不同的结果，但本文的结果更符合客观实际。     

Banach空间中Cauchy初值问题解的存在性

在研灾Banach空间常微分方程Cauchy 问题解的存在性问题时,人们常常使用一个 很难验证且一般情况下难以达到的条件──一致连续性条件,本文完全不使用一致连续性条 件,仅利用紧型条件,获得了Banach空间Cauchy问题解的存在性定理,从而改进和推广了已 知的有关结果,     

不可约圈与路之并补图的色唯一性

讨论了形如ｋＣＲＵｒＰＲ的一类图的补图的色性．在一定的条件下证明了这类图是色唯一的．本文推广了文［１］的结果．     

合成展开法求解圆薄板大挠度问题

本文用合成展开摄动法,把外场解和内层解结合起来,求解圆薄板大挠度问题.本文把Hencky的薄膜解当作外场解的一级近似解,并求出了外场解的二级近似解.利用边界内层坐标,求得了相应的各级内层解,即边界层解.本文采用最大位移和板厚之比的倒数作为小参数,所得结果大大改进了1948年作者所得的结果.     

抽象空间混合型微分-积分方程两点边值问题的解

本文利用混合单调算子理论及Ｍ?ｎｃｈ的一个结果，得到了一类微分方程两点边值问题的解．     

高校科研团队领导内隐追随的维度与量表开发——基于KAQ理论的维度构建方法

内隐追随是西方管理学中的一个新兴研究议题。相对于西方已有的内隐追随维度研究,以及我国学者对内隐追随结构维度的本土化研究,目前以高等学校为研究背景,以高校科研团队领导为研究对象的内隐追随结构维度的研究还较为匮乏。基于KAQ理论,在归纳高校科研团队领导者内隐追随特征的基础上,提出其结构维度的理论框架,并利用SPSS 20.0和Mplus7.4分别对高校科研团队内隐追随结构维度进行探索性和验证性因素分析,最后,对所开发的量表进行预测效度和增量效度的检验。结果表明,高校科研团队领导内隐追随包括原型和反原型两大维度,每个维度还包括知识、能力、素质原型与反原型六个子维度。同时,也验证了该量表具有较好的预测效度和增量效度。最后,阐述结论、研究贡献以及研究的局限性和未来研究的展望,以供高校领导发展计划领域研究学者参考。     

关于非负分布重尾程度的刻画

本文针对应用概率的研究需要，提出了重度重尾分布和轻度重尾分布的概念，给出了这两类分布的一些判别准则，讨论了与重度重尾分布有关的一系列问题，并且证明了D族的一些良好性质．     

抽象空间混合型微分积分方程两点边值问题的解

本文利用混合单调算子理论及Ｍ¨ｏｎｃｈ的一个结果，得到了一类微分方程两点边值问题的解．     

On the Coefficients of Several Classes of Bi-Univalent Functions

In this paper, we investigate the bounds of the coefficients of several classes of bi-univalent functions. The results presented in this paper improve or generalize the recent works of other authors.     

Rigidity of free algebras in varieties of lie algebras

In this paper the main result is the rigidity of varietally free Lie algebras within the varieties where they are free. In fact, these algebras are usually free in some larger varieties, such as various types of the commutator varieties, and this is demonstrated in this paper as well. A related paper is [2] where, among some other results, we claimed the rigidity of free metabelian algebras within the respective variety of Lie algebras.