二次约束下多指标线性模型回归系数线性估计的可容许性

本文推广了Hoffmann[1]与Mathew[2]的结果，在二次损失下得到了二次约束下多指标线性模型中回归系数线性估计在线性估计类中可容许性的充要条件．     

一类椭圆型方程的多重解

利用极小极大方法获得了一类Dirichlet问题多重解的存在性结果.     

V_n(R~+)中半线性生成子空间的基与维数

在交换的零和自由半环上,首先讨论了半线性空间V_n中向量组线性相关性的一些性质,并给出向量组中极大线性无关组所含向量个数相同的条件.其次通过对半环R~+,+,.,0,1上生成子空间基的讨论,给出了向量组的极大线性无关组含相同向量个数的条件.最后对R~+,+,.,0,1上生成子空间的维数进行详细讨论并给出相应的结果.     

周期线性微分方程解的一个关键性质

周期线性微分方程某解f(z)和f(z qω）的线性相关性是方程复振研究的起步关键,其中ω是方程系数的周期,q是某正整数。S.Bank和J.Langley于1992年证明了重要结果,但其优势条件有时不适用。本文提出“组合优势条件”产用其发展了这一结果,大大扩充了其适用性。     

线性正算子序列在空间C_m(D)的收敛性问题

本文将Коровкин关于线性正算子序列和线性连续多项式算子序列逼近一元连续函数的主要结果推广到ｍ维连续函数空间Ｃｍ（Ｄ）．     

非线性二阶微分方程的振动准则

本文建立了非线性二阶微分方程(a(t)x′(t))′+p(t)x′(t)+q(t)|x(t)|^α sgn x(t)=0的一个新的振动准则，并改进了文［１］的结果。     

两个线性模型间最优线性无偏预测的等价性

设M1和M2是两个带有预测量的线性模型,通过使用矩阵秩方法,本文给出了模型M1下预测量的最优线性无偏预测同时也是模型M2下的最优线性无偏预测的充分必要条件.作为这个结果的应用,我们给出了两个线性混合模型间最优线性无偏预测等价性的充分必要条件.     

非线性二阶中立型微分方程的振动性

考虑中立型微分方程我们建立了方程(1)的若干振动准则。这些结果适用于强超线性和强次线性中立型微分方程,且当p(t)≡0时仍然成立。     

扰动线性差分方程解的性质

本文讨论了一般扰动线性差分方程零解的稳定性和解的有界性，得到了一些新结果，推广了［１］和［２］的相应结果。     

一类高阶线性微分方程解的增长性

该文研究了一类高阶线性微分方程解的增长性，推广并完善了文献［３］［４］［５］［７ ］的结果.     

Global Existence of Classical Solution with Small Initial Total Variation for Quasilinear Linearly Degenerate Hyperbolic Systems

In this paper, the author proves the global existence of classical solution to the Cauchy problem with slowly decaying initial data with small initial total variation for general first order quasilinear linearly degenerate hyperbolic systems. This generalizes the corresponding result of A.Bressan for initial data with compact support.     

Exponential Decay of Energy for a Logarithmic Wave Equation

In this paper we consider the initial boundary value problem for a class of logarithmic wave equation. By constructing an appropriate Lyapunov function, we obtain the decay estimates of energy for the logarithmic wave equation with linear damping and some suitable initial data. The results extend the early results.     

Functional Law for the Anticipating Ornstein-Uhlenbeck Process

We prove a functional law of simple logarithm for the Ornstein-Uhlenbeck process with anticipating initial data.      

Existence and uniqueness of global classical solutions to 3D isentropic compressible Navier-Stokes equations with general initial data

In this paper we study the global existence and uniqueness of classical solutions to the Cauchy problem for 3D isentropic compressible Navier-Stokes equations with general initial data which could contain vacuum.We give the relation between the viscosity coefficients and the initial energy,which implies that the Cauchy problem under consideration has a global classical solution.     

Solution to Nonlinear Wave Equation with Delta Initial Data and Its Singularity Structure

In this paper we discuss a Cauchy problem for nonlinear wave equation with delta initial data, including delta impulse and/or delta displacement. The solution of the Cauchy problem in appropriate sense is given. Meanwhile, the singularity structure of the solution is also described.     

Existence of solutions for a higher-order semilinear parabolic equation with singular initial data

We establish the existence of solutions of the Cauchy problem for a higher-order semilinear parabolic equation by introducing a new majorizing kernel. We also study necessary conditions on the initial data for the existence of local-in-time solutions and identify the strongest singularity of the initial data for the solvability of the Cauchy problem.     

初始因子在奥运会径赛数据分析中的应用——兼与Johnson R A和Wichern D W教授、王学民同志商榷

这里将初始因子的一些应用观点和结论列出,并通过奥运会男子径赛数据,指出初始因子应用中存在的问题,应用因子分析模型L及其精确解,初始因子解决问题的步骤,解决了奥运会男子径赛数据分析中存在的一些问题.     

取油管振动方程解的整体不存在性

讨论推广的海底取油管振动方程的初边值问题和初值问题解的整体不存在性,对初边值问题推广了Gmira和Guedda得到的结果,对初值问题的结果是新的.     

Solution of weighted Cauchy problem for a class of Huygens equations

The paper studies the initial value problem for a class of equations satisfying Huygens’ principle. Since this equations have singularities at t = 0, it is necessary first to determine the form of the initial conditions and then the solution of the corresponding problem is constructed in a finite number of steps. Examples of natural initial data are presented.     

Asymptotic behavior for the one‐dimensional pth power Newtonian fluid in unbounded domains

We consider the initial and initial‐boundary value problems for a one‐dimensional pth power Newtonian fluid in unbounded domains with general large initial data. We show that the specific volume and the temperature are bounded from below and above uniformly in time and space and that the global solution is asymptotically stable as the time tends to infinity. Copyright © 2015 John Wiley & Sons, Ltd.