THE LARGE TIME BEHAVIOR OF SPECTRAL APPROXIMATION FOR A CLASS OF PSEUDOPARABOLIC VISCOUS DIFFUSION EQUATION

The asymptotic behavior of the solutions to a class of pseudoparabolic viscous diffusion equation with periodic initial condition is studied by using the spectral method. The semidiscrete Fourier approximate solution of the problem is constructed and the error estiation between spectral approximate solution and exact solution on large time is also obtained. The existence of the approximate attractor AN and the upper semicontinuity d(AN,A)→0 are proved.     

基于截尾数据概率密度核估计的一些渐近行为

Blum和Snsarla(1980)提出了一基于截尾数据非负随机变量概率密度f(t)的核估计(?)_n(t),本文证明了(?)_n(t)的一致强相合性。此外,我们还进一步研究了(?)_n(t)的一致强收敛速度问题,给出了(?)_n(t)的一渐近表达式,并利用所给的表达式证明了(?)_n(t)以速度为O(n~(-2a))均方收敛到(?)_n(t),其中0相似文献   

F－L模型的状态方程与退禁闭相变图象

用温度场论方法计算了Ｆ－Ｌ模型在有限温度和密度下的状态方程，分析了压强对净重子数密度的等温线．结果表明，在平均场近似下，Ｆ－Ｌ模型所给出的退禁闭相变为一级相变．     

有界型凸函数

1.前言和预备知识 A.W.Goodman引进并研究了下面的函数族,设函数：■在单位园盘E={|z|<1}内正则单叶,用S表示该族。若在E内又是凸形的,自然f(E)是凸区域,在?f(E)上的曲率半径ρ∈[R_1,R_2],当0相似文献   

Stability of the Distribution in a Money Exchange Model

A nonlinear money exchange model is revised and a correct master equation is derived. The evolution of the distribution is studied from direct numerical and analytical calculations. The stability of the final steady state of the system is investigated. It is argued that the final distribution is valid for a group of conservative money exchange models.     

（T＋λI）－1不一定是非扩张映射

设Ｔ是ｍ-增生算子，Ｉ是恒等映射．本文通过一个反例说明（Ｔ＋λＩ）^－1（λ＞０）不一定是非扩张映射．     

指数分布卷积形式参数的估计

本文研究指数分布卷积形式参数的点估计，区间估计以及经验分布函数与分布函数最大偏差的概率估计．     

某类一阶非线性双曲型方程的Cauchy问题

本文考虑一类具实际物理背景的一阶非线性双曲型方程，证明了解的存在唯一及正则性。