方程y″+py′+qy=e~(λx)(Acosωx+Bsinωx)特解的一般公式

本文推导了y″ py′ qy=eλx(Acosωx Bsinωx)特解的一般公式,从而简化了繁琐的计算。     

一类时滞差分方程的振动性和全局吸引性

研究了一类时滞差分方程的各类性质,指出了该方程振动的充要条件,讨论了方程的周期性并证明了方程的持久性和正解的全局吸引性.     

Poverty in Kathmandu: What do subjective and objective economic welfare concepts suggest?

Conventional definitions suggest that the concept of economic welfare underpins poverty. Unsettled issues abound with respect to using subjective versus objective approaches, however. Using micro-level survey data, this paper explores subjective and objective concepts of economic welfare to identify characteristics of poverty in Kathmandu. While application of the subjective and objective concepts of economic welfare yields rather different characteristics, the former appears to be more comprehensive with ability to incorporate the latter in poverty measurement and analysis. This indicates that subjective assessments of households can provide a more realistic picture of poverty when used with actual income and consumption data. Although this paper does not seek to develop any particular poverty standard, it provides a useful framework for integrating subjective and objective approaches with a promise of more comprehensive poverty measurement outcomes.     

价值观念与学习模式及学习效果的关系

通过对高校学生的调查研究,分析中国传统价值观念与学生学习方法和学习效果之间的相关关系,观察深层学习与儒家思想和道德情操之间存在着的相关性,指出良好的自我发展能力、生活态度和人际关系能够有效地抑制浅表学习,进而提高人才的培养质量。     

m-拉普拉斯型抛物方程解的有界支集

本文了方程ａｕ／ａｔ＝△ｕ＾ｍ－ｕ＾ｑ具有初始条件ｕ（ｘ，０）＝ｕ０的Ｃａｕｃｈｙ问题解的局部化条件及解的全局熄灭问题，其中ｍ〉１，ｑ〉０，ｕ０是Ｒ＾Ｎ中具有紧支集的有界非负连续函数，本文的主要结果是：如果１〈ｑ〈ｍ，那么ｓｕｐｐｕ（．，ｔ）包含ＢＬ，其中Ｌ是与时间ｔ无关的正数。     

A non-iterative approach to estimating parameters in a linear structural equation model

The research described herein was motivated by a study of the relationship between the performance of students in senior high schools and at universities in China. A special linear structural equation model is established, in which some parameters are known and both the responses and the covariables are measured with errors. To explore the relationship between the true responses and latent covariables and to estimate the parameters, we suggest a non-iterative estimation approach that can account for the external dependence between the true responses and latent covariables. This approach can also deal with the collinearity problem because the use of dimension-reduction techniques can remove redundant variables. Combining further with the information that some of parameters are given, we can perform estimation for the other unknown parameters. An easily implemented algorithm is provided. A simulation is carried out to provide evidence of the performance of the approach and to compare it with existing methods. The approach is applied to the education example for illustration, and it can be readily extended to more general models.     

Bayesian sequential inference for nonlinear multivariate diffusions

In this paper, we adapt recently developed simulation-based sequential algorithms to the problem concerning the Bayesian analysis of discretely observed diffusion processes. The estimation framework involves the introduction of m−1 latent data points between every pair of observations. Sequential MCMC methods are then used to sample the posterior distribution of the latent data and the model parameters on-line. The method is applied to the estimation of parameters in a simple stochastic volatility model (SV) of the U.S. short-term interest rate. We also provide a simulation study to validate our method, using synthetic data generated by the SV model with parameters calibrated to match weekly observations of the U.S. short-term interest rate.     

一类非线性方程的研究

在一类推广型非线性方程中,应用Leary-Schauder固定点定律建立了通常Sobolev空间Hs和某个权重Sobolev空间。构建一个方程初值。证明了这类推广型非线性方程的求解问题可简化为求解一个完整性连续图形上固定点j。应用Leray-Schauder定理来证明图形上所有固定点j严格在Bx[0,1]组内部存在,且在Bx[0,1]上的每一点是完全连续。其结果表明,该类推广型方程的解能收敛成初值问题的解,即得到了该类推广型非线性方程唯一光滑解。     

匀速运动电荷场变换关系的一种推导方法

根据电荷不变性,从高斯定理出发,利用洛仑兹变换直接导出了匀速运动电荷的电场变换关系,由麦克斯韦方程组导出了磁场与电场变换关系。     

一类具强非线性退化抛物方程古典解的存在性

本文对［１］中所研究的非线性退化抛物方程的结果作了推广，证明了在一定条件下，广 义解的存在性．