一类二阶非线性p-Laplace系统快速同宿轨的存在性

考虑了一类二阶非线性p-Laplace系统的快速同宿轨问题.利用临界点理论中的山路引理和对称山路引理,获得了系统快速同宿轨存在性与多重性的结果.     

基于延迟时间理论的两部件并联系统检测区间模型

延迟时间理论广泛应用于系统维修领域,更为细致和准确的反映了系统的运行状态,对于系统的维修建模及确定系统的检测区间起到了重要的作用.但是,以往关于延迟时间理论的应用几乎都是关于单部件系统或串联系统的,而并联系统在实际中也有很广泛的应用.应用延迟时间理论对两部件并联系统的检测区间进行研究,在部件缺陷发生的初始时间为非指数分布的情况下,提出了两种不同的维修措施,并以单位时间期望维修费用最小为目的,对每一种维修措施分别进行研究.文章最后给出了数值案例及模拟运算结果,并对未来的工作做了展望.     

具有四个素因子的奇亏完全数

设n为自然数,σ(n)表示n的所有正因子和函数.令d是n的真因子,若n满足σ(n)=2n-d,则称n为亏因子为d的亏完全数.本文给出了具有四个素因子的奇亏完全数的一些性质的刻画.     

A review of recent advances in selective catalytic NOx reduction reactor technologies

Research on NOx treatment is extensive in recent years due to growing environmental awareness. Selec- tive catalytic reduction （SCR） of NOx, as a proven technology, offers higher NOx control efficiency than many other NOx treatment methods. The present work reviews the recent development of SCR reactor technologies. Firstly, catalysts and mechanism of different SCRs were briefly summarized. Different SCR reactors, e.g. structured reactor, fluidized bed reactor and moving bed reactor, were then discussed. As a more advanced technology, multifunctional reactors were also developed for SCR process and could be divided into two categories： decoupled adsorption-reaction process and combined SCR system. The mechanism and properties of these processes were discussed in detail. Some recommendations were given for the future work in SCR reactor design. SCR reactor technology for emerging energy processes was also addressed, such as oxyfuel combustion and biofuel conversion processes, which put forward new requirements for SCR technologies and also open new opportunities for advanced design of SCR reactors.     

空间大气遥感高光谱成像仪光学系统设计

多模式高光谱成像仪已成为空间大气遥感领域的迫切需求,根据多模式空间大气遥感的研究目标,采用扫描系统、离轴抛物面望远系统和双光谱仪级联色散光谱成像系统匹配的结构型式,设计了一个瞬时视场1.8°×0.045°、相对孔径1/2、工作波段250~500nm的星载天底-临边多模式高光谱成像仪光学系统,分成250~330nm和320~500nm两个波段同时探测,利用光学设计软件ZEMAX-EE中进行了光线追迹和优化设计,色散方向不同波长的点列图半径的均方根(RMS)值均小于9.5μm,在250~330nm波段,光谱分辨率为0.17nm,在320~500nm波段,光谱分辨率为0.37nm,均满足小于等于0.6nm的指标要求,高光谱成像仪全系统在空间方向各波长在特征频率处的光学传递函数均达到0.9以上,完全满足成像质量要求,适合空间大气遥感应用。     

一厘米的毛毛

正小虫毛毛住在花园里,他能轻而易举地爬上高处,一边轻咬,一边测量他的宝贝们:西葫芦、茄子,还有荷兰豆。他的测量方法很简单:他每爬一下身体就会蜷成一个圈儿,这就是1厘米。他从一头开始爬,蜷成多少个圈儿就是多少厘米,这可是个很精确的测量方法哦!"扭来扭去的虫虫,一圈儿又一圈儿。什么都能测量,一环又一环。""7厘米的辣椒,8厘米的豌豆,还有刚长出3厘米的小青菜。"     

二阶哈密尔顿系统的对称扰动(英文)

我们研究二阶Hamiltonian系统-ü=▽F1(t,u)+ε▽F2(t,u)a.e.t∈[0,T]的多重周期解,其中ε是一个参数,T0.F1(F2)∶R×RN→R关于t是T周期的,▽F1(t,x)关于x是奇的;并且Fi(t,x)(i=1,2)对所有x∈RN关于t是可测的,对几乎所有t∈[0,T]关于x是连续可微的,而且存在a∈C(R+,R+),b∈L+(0,T;R+)使得|Fi(t,x)|≤a(|x|)b(t),|▽Fi(t,x)|≤a(|x|)b(t)对所有x∈RN及几乎所有t∈[0,T]成立.我们对F1施加适当的条件,能够证明对任意的j∈N存在εj0使得|ε|≤εj,则上述问题至少有j个不同的周期解.     

Acta Mathematica Sinica

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