一类二阶积分型发展方程反周期解问题

本文中,我们研究一类带有非单调扰动算子的二阶非线性发展方程的反周期问题,证明方程中的非单调扰动算子为极大单调的,并用极大单调算子的微单调扰动理论来证明此类方程的反周期解的存在性。     

Some BMO estimates for vector-valued multilinear singular integral operators

In this paper, we prove some BMO end-point estimates for some vector-valued multilinear operators related to certain singular integral operators.     

解非线性约束方程的拉格朗日全局投影方法

基于最优化方法求解约束非线性方程组的一个突出困难是计算 得到的仅是该优化问题的稳定点或局部极小点,而非方程组的解点.由此引出的问题是如何从一个稳定点出发得到一个相对于方程组解更好的点. 该文采用投影型算法,推广了Nazareth-Qi$^{[8,9]}$ 求解无约束非线性方程组的拉格朗日全局算法(Lagrangian Global-LG)于约束方程上; 理论上证明了从优化问题的稳定点出发,投影LG方法可寻找到一个更好的点. 数值试验证明了LG方法的有效性.     

A V-cycle multigrid method for a viscoelastic fluid flow satisfying an Oldroyd-B-type constitutive equation

A V-cycle multigrid method is developed for a time-dependent viscoelastic fluid flow satisfying an Oldroyd-B-type constitutive equation in two-dimensional domains. Also existence, uniqueness, and error estimates of an approximate solution are discussed. The approximate stress, velocity, and pressure are, respectively, σ _k -discontinuous, u _k -continuous, and p _k -continuous.     

Novel NO2 Gas Sensor Based on Cr(III) Complex Thin Film

The results concerning the gas‐sensing characteristics of novel NO₂ gas sensors, fabricated from complex [Cr(bipyO₂)Cl₂]Cl thin films, were first presented. The sensors exhibited high response to NO₂ gas in the concentration range from 1.97% to 6.67% at relative low temperatures (from room temperature to 348 K). No response to H₂S and SO₂ was observed. The maximum response for 6.03% NO₂ was approximately 11.7 at 338 K and 10 V operating voltage. The response time of the sensors was about 4.5 min for NO₂ and the recovery time about 40 s. The effect of the electrical resistance change of the sensors in the presence of NO₂ could be used for gas sensing measurements. The performance and reliability of the sensors showed their potential applications for monitoring and controlling NO₂ component continuously in chemical production.     

两参数齐次独立增量过程在原点的局部性质

Ａｄｌｅｒ曾经给出了两参数独立增量过程的特征函数的一般形式．本文对齐次情形给出了更具体的表达式，引进了累积量的概念．在此基础上，研究了比值Ｘ（ｓ，ｔ）／ｓｔ在原点的分布，单调过程在原点的局部性质以及任意过程在原点的局部增长．由此得到了Ｂｒｏｗｎ单和不包含高斯分量的过程在原点的局部增长．     

Images of locally compact metric spaces

We establish relationships between locally compact-metric spaces and all kinds of spaces with mk-system (compact k-network) by means of compact-covering mappings, quotient mapping and closed mappings. This revised version was published online in June 2006 with corrections to the Cover Date.     

双无限随机环境中马氏链的暂留性

借鉴确定环境中马氏链暂留性的定义,在随机环境中马氏链的研究领域,引入了各种暂留性的概念,在确定环境中这些暂留性是等价的,而在随机环境中它们不等价.讨论了各类暂留性之间的相互关系及其基本性质,给出了链和状态是暂留的一些判别准则.     

Existence for implicit differential equations with nonmonotone perturbations

This paper is devoted to the existence of solutions for a class of implicit Cauchy problems. The main tools in our study will be a convergent approximation procedure and the theory of pseudomonotone perturbations of maximal monotone mappings. This research is supported by the National Natural Science Foundation of China (No. 10171008).