非齐次树上非齐次马氏链的若干强大数定律

通过构造适当的非负鞅,将Doob鞅收敛定理应用于几乎处处收敛的研究,给出了一类非齐次树上m重连续状态非齐次马氏链的若干强大数定律,推广了相关结果.     

求高阶非齐次微分方程(组)特解的矩阵解法

给出了求一类高阶非齐次线性微分方程(组)特解的矩阵解法.即由对应齐次微分方程(组)的n个特解以及非齐次微分方程(组)的自由项构成某线性方程组的增广矩阵,并对该增广矩阵进行初等行变换,即可求得非齐次微分方程(组)特解的一种简便方法.     

关于非齐次马氏链的一个定理

给出了Csiszar和Krner关于独立随机变量序列的一个定理的一个推广,该定理的推论是关于相对熵的,在统计假设检验及编码理论中起着重要的作用.利用非齐次马氏链的一个强大数定律将这个定理推广到非齐次马氏链上.     

X射线脉冲星导航半物理仿真实验系统研究

由于费用巨大,X射线脉冲星导航初步研究阶段不可能进行空间搭载实验.为此,文章设计了一种X射线脉冲星导航半物理仿真实验系统.该系统由脉冲星信号模拟部分和导航参数解算部分组成.模拟部分采用非齐次泊松过程对光子到达太阳系质心的时间建模,时间转换后,模拟X射线探测器观测脉冲星时输出的脉冲信号.导航参数解算部分利用Delta-Correction方法解算模拟信号中蕴含的导航信息.该系统可同时模拟4颗脉冲星信号,成本低,精度高,可对脉冲星导航的信号处理和参数解算过程进行光子级仿真研究,并为后续空间搭载实验中原理样机的设计提供一定的参考. 关键词： X射线脉冲星 导航 仿真实验系统 非齐次泊松过程     

一类高阶变系数线性非齐次微分方程的解

利用高阶变系数之间的关系,通过适当的线性变换,得到了五阶变系数线性非齐次方程常系数化的条件,给出了一类高阶变系数线性非齐次微分方程的新解法.     

二阶常系数非齐次线性微分方程的通解公式

根据二阶常系数齐次线性微分方程的特征根,利用降阶法,可给出求解一般二阶常系数非齐次线性微分方程的通解公式.     

四项变系数非齐次递推关系的显式解

文献[1]研究了一类较特殊的三项常系数齐次递推式的一般解的结构。本文推广了[1]中的结果,给出了一般的四项变系数非齐次递推关系的明显解公式,为利用计算机处理相关问题提供了具体模式。     

The Reissner-Sagoci type problem for a non-homogeneous elastic cylinder embedded in an elastic non-homogeneous half-space

The problem considered is that of the torsion of a non-homogeneouselastic cylinder, which is embedded in a non-homogeneous elastichalf-space (matrix) of different rigidity modulus. A rigid discis bonded to the flat surface of the cylinder and torque isapplied to the cylinder through a rigid disc. It is assumedthat there is perfect bonding at the common cylindrical surface.Using integral transformation techniques the solution of theproblem is reduced to dual integral equations. Later on thesolution of the dual integral equations is transformed intothe solution of a Fredholm integral equation of the second kind.Solving the Fredholm integral equation numerically the numericalresults for torque and shear stress inside the cylinder areobtained and displayed graphically to demonstrate the effectof non-homogeneity of the elastic material on the torque andshear stress.     

Non-homogeneous space-time fractional Poisson processes

The space-time fractional Poisson process (STFPP), defined by Orsingher and Poilto (2012), is a generalization of the time fractional Poisson process (TFPP) and the space fractional Poisson process (SFPP). We study the fractional generalization of the non-homogeneous Poisson process and call it the non-homogeneous space-time fractional Poisson process (NHSTFPP). We compute their pmf and generating function and investigate the associated differential equation. The limit theorems for the NHSTFPP process are studied. We study the distributional properties, the asymptotic expansion of the correlation function of the non-homogeneous time fractional Poisson process (NHTFPP) and subsequently investigate the long-range dependence (LRD) property of a special NHTFPP. We investigate the limit theorem for the fractional non-homogeneous Poisson process (FNHPP) studied by Leonenko et al. (2014). Finally, we present some simulated sample paths of the NHSTFPP process.     

非齐性广义Morrey空间上双线性强奇异Calder\''{o}n-Zygmund算子及交换子

本文的主要建立非齐性度量测度空间上双线性强奇异积分算子$\widetilde{T}$及交换子$\widetilde{T}_{b_{1},b_{2}}$在广义Morrey空间$M^{u}_{p}(\mu)$上的有界性. 在假设Lebesgue可测函数$u, u_{1}, u_{2}\in\mathbb{W}_{\tau}$, $u_{1}u_{2}=u$,且$\tau\in(0,2)$. 证明了算子$\widetilde{T}$是从乘积空间$M^{u_{1}}_{p_{1}}(\mu)\times M^{u_{2}}_{p_{2}}(\mu)$到空间$M^{u}_{p}(\mu)$有界的, 也是从乘积空间$M^{u_{1}}_{p_{1}}(\mu)\times M^{u_{2}}_{p_{2}}(\mu)$到广义弱Morrey空间$WM^{u}_{p}(\mu)$有界的,其中$\frac{1}{p}=\frac{1}{p_{1}}+\frac{1}{p_{2}}$及$1相似文献