关于代数微分方程的超越整解的增长性

研究了如下代数微分方程a(z)f′^2 (b2(z)／f^2 b1(z)f b0(z)f′=d3(z)f^3 d2(z)f^2 d1(z)f d0(z)(这里a(z),bi(z)(0≤i≤2)和dj(z)(0≤j≤3)是多项式)超越整函数解的增长性，这类方程与有名的代数微分方程C（z，w）w′^2 B(z,w)w′ A(z,w)=0(C(z,w)≠0,B(z,w)和A（z，w)是z和w的3个多项式)有紧密的关系．详细地给出了第1个方程的整函数解的增长性与它的3个多项式的次数之间的关系．     

SPL(2|1)超代数单参数非齐次微分实现

本文引入了单一实参数，构造了SPL（2｜1）超代数的单参数4维初等表示，获得了SPL（2｜1）超代数单参数齐次微分实现和非齐次微分实现本文的研究结果，对深入研究SPL（2｜1）超代数单参数不可分解表示和不可约表示，构建SPL（2｜1）超对称精确可解模型，具有十分重要的意义。     

两类半线性二维积分微分方程解的爆破

本文利用微分积分不等式的有关结果研究了由线性粘弹性板振动所引出的半线性两维积分微分方程初边值问题解的爆破性质 .第一节研究了右端外力为势力的半线性两维积分微分方程解的爆破性质 .第二节研究了右端外力为粘性阻尼的半线性两维积分微分方程解的爆破性质     

Sobolev方程的弱有限元方法

本文针对混合格式的Sobolev方程提出了一种新的弱有限元方法,建立了对应的半离散格式。该格式引入了弱散度算子及边界稳定性。经证明此半离散格式存在唯一的稳定解及最优误差估计。     

动态区间上高阶Cauchy微分中值定理"中间点"的渐进性

在动态区间上研究了高阶Cauchy中值定理“中间点”的渐进性．得到的结果推广了以往的结论．     

一类中立型泛函微分方程概周期解的存在性

研究了一类中立型泛函微分方程概周期解的存在性及唯一性问题，并利用不动点定理及指数型二分性，得到了该方程存在唯一的概周期解的新结果。     

Do interim assessments reduce the race and SES achievement gaps?

The authors examined differential effects of interim assessments on minority and low socioeconomic status students' achievement in Grades K–6. They conducted a large-scale cluster randomized experiment in 2009–2010 to evaluate the impact of Indiana's policy initiative introducing interim assessments statewide. The authors used 2-level models to analyze the single-grade data and determine whether interim assessments interacted with student ethnicity, socioeconomic status, gender, or school composition (i.e., percent of minority or disadvantaged students). The authors also combined estimates across grades using fixed effects meta-analysis. Results indicated little evidence about differential effects. The majority of interaction estimates were insignificant and close to zero. There is some indication that in Grades K–2 Indiana's interim assessment may have closed the Hispanic–White gap in reading. In kindergarten and Grade 3 the treatment may have widened the gap between schools with higher and lower percentages of minority students and may have reduced the gap between schools with higher and lower percentages of economically disadvantaged students in mathematics.     

Solvability of impulsive neutral functional differential inclusions in banach spaces

Impulsive neutral differential inclusions play an important role in characterizing many social, physical and engineering problems, and the existence of solutions for the initial value problem in Banach spaces has been extensively studied. However, in most cases, the nonlinear term on the right-hand side of differential inclusions has to satisfy the compact or continuous assumptions. The object of this paper is to study the existence of solutions to the initial value problems of the first and second order impulsive neutral functional differential inclusions in Banach spaces under some weaker conditions, where the nonlinear term on the right-hand side does not necessarily satisfy the compact and continuous assumptions. Based on a fixed point theorem for discontinuous multivalued increasing operators, the results are obtained by means of the partial ordering method and measure of noncompactness.     

亚纯系数二阶复域微分方程的解与小函数的关系

文章研究了亚纯函数系数的二阶线性微分方程的解与小函数的关系。得到了齐次与非齐次线性微分方程亚纯解取小函数的精确估计。     

一类具有偏差变元微分方程解的渐近性质

主要研究了一类具有偏差变元的高阶方程的解的有界性质和渐近性质,给出了这类方程每个解有界或渐近的充分条件.