一类特殊非齐次树上非齐次马尔可夫链的强律

极限定理一直是国际概率论界研究的中心课题之一.本文通过构造适当的辅助非负鞅而给出了一类特殊非齐次树上可列非齐次马尔可夫链场的若干强律.     

用齐次化原理解线性非齐次微分方程

齐次化原理是求解线性非齐次偏微分方程的一种方法。本文利用这种方法求解线性非齐次常微分方程,并推导出解的一般公式。     

非齐次树上非齐次马氏链转移矩阵的一个极限性质

通过引入样本散度的概念和构造辅助非负鞅,利用Doob鞅收敛定理给出了非齐次树上k重非齐次马氏链转移矩阵的一个极限性质．     

非齐次树上m重非齐次马氏链的一类强偏差定理

研究给出了非齐次树上m重非齐次马氏链的一类强偏差定理.     

一类非齐次树上m重非齐次马氏链的强极限定理

研究给出了一类非齐次树上m重非齐次马氏链的强极限定理.     

非齐次马氏决策过程的齐次化

该文考虑的是可数状态空间有限行动空间非齐次马氏决策过程的期望总报酬准则．与以往不同的是，我们是通过扩大状态空间的方法，将非齐次的马氏决策过程转化成齐次的马氏决策过程，于是非常简洁地得到了按传统的方法所得的主要结果．     

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.     

一类非齐次树上非齐次马氏链的强偏差定理

本文通过构造适当的非负上鞅,将Doob鞅收敛定理应用于几乎处处收敛的研究,研究给出了一类非齐次树上非齐次马氏链的强偏差定理.     

非齐次树上m重非齐次马氏链的一个强偏差定理

本文研究给出了非齐次树上m重非齐次马氏链的一个强偏差定理.     

一类非齐次树上非齐次马氏链的若干强偏差定理

通过引入滑动似然比和滑动相对熵的概念,利用Borel-Cantelli引理研究给出了一类非齐次树上非齐次马氏链的若干强偏差定理.     

一类非齐次树上的非齐次马尔可夫链的若干强极限定理

极限定理一直是国际概率论界研究的中心课题之一.通过构造适当的辅助非负鞅而给出了一类特殊非齐次树上可列状态的非齐次马尔可夫链场的若干强极限定理.     

Immersed Interface Finite Element Methods for Elasticity Interface Problems with Non-Homogeneous Jump Conditions

<正>In this paper,a class of new immersed interface finite element methods (IIFEM) is developed to solve elasticity interface problems with homogeneous and non-homogeneous jump conditions in two dimensions.Simple non-body-fitted meshes are used.For homogeneous jump conditions,both non-conforming and conforming basis functions are constructed in such a way that they satisfy the natural jump conditions. For non-homogeneous jump conditions,a pair of functions that satisfy the same non-homogeneous jump conditions are constructed using a level-set representation of the interface.With such a pair of functions,the discontinuities across the interface in the solution and flux are removed;and an equivalent elasticity interface problem with homogeneous jump conditions is formulated.Numerical examples are presented to demonstrate that such methods have second order convergence.     

Solving Non-Homogeneous Nested Recursions Using Trees

The solutions to certain nested recursions, such as Conolly’s C(n) = C(n?C(n?1)) + C(n?1?C(n?2)), with initial conditions C(1) = 1, C(2) = 2, have a well-established combinatorial interpretation in terms of counting leaves in an infinite binary tree. This tree-based interpretation, and its generalization to a similar k-term nested recursion, only apply to homogeneous recursions and only solve each recursion for one set of initial conditions determined by the tree. In this paper, we extend the tree-based interpretation to solve a non-homogeneous version of the k-term recursion that includes a constant term. To do so we introduce a tree-grafting methodology that inserts copies of a finite tree into the infinite k-ary tree associated with the solution of the corresponding homogeneous k-term recursion. This technique also solves the given non-homogeneous recursion with various sets of initial conditions.     

非均匀圆柱型正交各向异性圆板的弯曲问题

本文研究了非均匀圆柱型正交各向异性圆板的弯曲问题,求得了折算刚度随半径按指数函数规律变化的非均匀圆柱型正交各向异性圆板在横向均布载荷作用下的通解,并给出了周边固定夹支条件下的精确解。     

The Infinite Server Queue with Arrivals Generated by a Non-Homogeneous Compound Poisson Process

This paper considers the infinite server queue with arrivals generated by a non-homogeneous compound Poisson process. In such a system, customers arrive in groups of variable size, the arrival epochs of groups being points of a non-homogeneous Poisson process, and they are served without delay. The service times of customers who belong to the same group need not be independent nor identically distributed. Assuming that the system is initially empty, the transient distribution of the queue size and of the counting departure process is obtained. Also the limiting queue size distribution (when it exists) is determined and it is found to be insensitive to the form the service time distribution functions.     

On Modeling Change Points in Non-Homogeneous Poisson Processes

Failures in repairable systems are often described by means of non-homogeneous Poisson processes, identified by their intensity and mean value functions. Intervention on the systems are likely to modify their reliability, and changes in intensities and mean value functions are therefore induced. We consider different scenarios in which interventions take places and propose models describing each of them. Bayesian analyses, relying on Markov-chain Monte Carlo methods, are illustrated along with applications to simulated and real, widely-known, data.     

A Posteriori Error Estimators and Adaptivity for Finite Element Approximation of the Non-Homogeneous Dirichlet Problem

Techniques are developed for a posteriori error analysis of the non-homogeneous Dirichlet problem for the Laplacian giving computable error bounds for the error measured in the energy norm. The techniques are based on the equilibrated residual method that has proved to be reliable and accurate for the treatment of problems with homogeneous Dirichlet data. It is shown how the equilibrated residual method must be modified to include the practically important case of non-homogeneous Dirichlet data. Explicit and implicit a posteriori error estimators are derived and shown to be efficient and reliable. Numerical examples are provided illustrating the theory.     

Common Zeros of the Solutions of Two Non-Homogeneous First Order Differential Equations

We consider two non-homogeneous first order differential equations and we use Nevanlinna theory to determine when the solutions of these differential equations can have the same zeros or nearly the same zeros.     

Duality of Non-Homogeneous Central Herz-Morrey-Musielak-Orlicz Spaces

We determine the associate space of non-homogeneous central Herz-Morrey-Musielak-Orlicz space \(\mathcal {H}^{\Phi ,q,\omega }(\textbf {R}^{N})\). We also determine the associate spaces of the space \(\underline {\mathcal {H}}^{\Phi ,q,\omega }(\textbf {R}^{N})\) and its complementary space \(\overline {\mathcal {H}}^{\Phi ,q,\omega }(\textbf {R}^{N})\).     

Multiple Solitary Waves for Non-Homogeneous Schrödinger–Maxwell Equations

The aim of this paper is investigating the existence of standing waves which are solutions of a nonlinear Schr?dinger equation coupled with Maxwell’s equations when a non-homogeneous term breaks the symmetry of the associated functional. Dedicated to the memory of Professor Aldo Cossu This work was supported by M.I.U.R. (research funds ex 40% and 60%).