受限Morgan问题 *

引进一组新的正则反馈不变量,称为右独立阶.证明受限Morgan问题等价于一类非线性代数方程组,给出了它退化为线性方程组的条件.     

重正化核的Poisson随机积分表示

本文考虑具有有限矩的1维无穷可分分布的正交多项式的母函数,通过“一步提升”原则得到的重正化核的显式表示,建立重正化核运算与Poisson随机积分之间的关系.     

方兴未艾的磁致电阻研究

 我们知道,在金属中散射作用是电阻产生的主要原因,这包括杂质散射和晶格热运动引起的电声子互作用。根据动量定理,电子在时间间隔△t内受到电场E的作用而产生的定向漂移速度.     

利用平凡不等式证明不等式举例

逆用无穷等比数列各项和公式可化复杂不等式为平凡不等式.例1设x,y,z>0,则x2-z2y z yz2- xx2 zx2- yy2≥0(W.Janous猜测)证明令x y z=s,则不等式的左边等于x2-z2s-x ys2--yx2 zs2--yz2=1s(1x2--sxz2 y12--syx2 z12--syz2)=1s[(x2-z2)(1 sx xs22 …) (y2-x2)(1 sy sy22 …) (z2-     

A Dual-Wavelength Cladding-Pumped Er^3＋/Yb^3＋ Codoped Fibre Laser System with More Than 2 W Output and Tunable Wavelength Spacing

A dual-wavelength laser system with wideband tunable wavelength spacing and more than 2 W output power is proposed and demonstrated. The operation principle of the laser system is based on the saturation gain characteristic of a cladding-pumped Era＋ /yba＋ co-doped fibre amplifier combining with a wideband tunable fibre laser with fiat power spectrum. The tuning range of the wavelength spacing is continuous within a 35 nm spectral range, and the power difference between both lasing wavelengths can be easily adjusted and controlled by a variable optical attenuator. The total output power can approximately keep unchangeable when the wavelength spacing and the power difference between both lasing wavelengths are continuously tuned and changed. The maximum total output power of the laser system is about 2.22 W.     

无穷时滞泛函微分方程的正周期解

利用范数形式的锥拉伸和锥压缩不动点定理讨论具有无穷时滞泛函微分方程的周期解问题,获得了正周期解的存在性定理,并给出了定理的若干应用.     

SOME FUNCTIONAL LIMIT THEOREMS FOR THE INFINITE SERIES OF OU PROCESSES

This paper obtains functional modulus of continuity and Strassen's functional LIL of the infinite series of independent Ornstein-Uhlenbeck processes, which also imply the Levy's exact modulus of continuity and LIL of this process respectively.     

对LP问题有无穷多最优解判别定理证明的补充

本指出了献[1]中关于“无穷多最优解判别定理”证明中的不足，并给出了完整的证明。     

非线性无穷时滞微分系统的稳定性

本文主要内容是：（１）在局部条件下，建立了一类具有无穷时滞的非线性的正、反向积分微分不等式；（２）结合常数变易法和Ｌｉａｐｕｎｏｖ函数法（不必寻找Ｐ－函数），利用所建立的不等式研究了非线性无穷时滞微分系统的稳定性；（３）举例说明了本文定理的应用和优点。     

l p值Gauss过程的增量有多大

设{Y(t),t≥0}={X_k(t),t≥0}^∞_k=1是独立的Gauss过程序列,σ²_k(h)=E(X_k(t+h)-X_k(t))².记σ(p,h)=(sum from k=1 to ∞ σ^p_k(h))^1/p,P≥1.考察σ(P,h)有界时Y(·)的大增量.作为一个例子,给出了无穷维分数Ornstein-Uhlenbeck过程在l^p空间中的大增量.所建立的方法适用于某些其它类型的平稳增量过程.