一类二阶迭代泛函微分方程周期解的存在性

利用k-集压缩算子抽象连续性定理和一些分析技巧,研究了一类二阶迭代泛函微分方程周期解的存在性,得到了一些保证该类方程存在周期解的新结果.     

附加黏滞阻尼器减震结构基于性能的抗震设计方法

本文以位移设计方法的概念为主,结合能力谱法提出附加黏滞流体阻尼器结构基于位移的初步设计方法.首先讨论了减震结构基于性能设计方法的实现途径并加以比较;其次定量研究了使用加速度反应谱转换为位移反应谱的条件,分析指出真实位移反应谱(均值)与转换得到的位移反应谱随着场地特征周期的增大,两者之间的差值逐渐增大;在场地条件相同的情况下,阻尼比越大两者的差异也越大.最后结合我国抗震设计规范,给出了主体结构保持弹性状态时,非迭代法确定附加黏滞流体阻尼器的减震结构设计流程.非线性时程分析结果表明该设计方法实用、有效.     

具有拟周期系数的schrodinger方程的可约化与平衡点的线性稳定性

对Schrodinger方程(A):iut-uxx+c(t)u=0u(t,0)=u(t,2π)=0,u(t,x)=∑∞n=1qn(t)n(x)进行讨论.n(x)是特征方程y″+λy=0y(0)=y(2π)=0中特征值对应的特征函数,c(t)=a+εc1(t),其中a是常数,c1(t)是以ω为频率的拟周期函数.直接判断方程的稳定性十分困难,把方程中的c(t)约化为常数,然后利用约化后的结果来判断方程(A)的平衡点的线性稳定性,方法简单实用.     

二阶三点边值问题解的存在性与唯一性

利用单调迭代方法,研究了反序上、下解条件下的二阶微分方程三点边值问题解的存在性与唯一性,分别得到解存在与唯一的充分条件,在满足解的唯一性的条件下,给出了求解的迭代序列及误差估计式.     

伪压缩映象的强收敛性

在一致光滑的Banach空间中，研究了多值伪压缩映象整体迭代序列{xn}的强收敛性，其中序列{xn}由下式 xn＋1=xn-λn（xn-un＋θn（xn-z））,A↓un∈Txn,n≥1生成。本文的结果改进和推广了相应的结果。     

Invariant hyperbolic tori for Gevrey-smooth Hamiltonian systems under Rüssmann’s non-degeneracy condition

In this paper, we prove the persistence of hyperbolic lower dimensional invariant tori for Gevrey-smooth perturbations of partially integrable Hamiltonian systems under Riissmann＇s nondegeneracy condition by an improved KAM iteration, and the persisting invariant tori are Gevrey smooth, with the same Gevrey index as the Hamiltonian.     

W2m[a,b]空问中再生核的计算(Ⅱ)

本文在[1]的基础上研究由特殊微分算子确定的一类再生核的计算,指出这类再生核的特例与以往通常采用的再生核是相似的,但其计算与以往的再生核相比却得到了极大的简化.文中还给出了这类再牛核系数的迭代算法.     

一类高阶线性微分方程解的复振荡性质

本文研究一类高阶线性齐次与非齐次迭代级整函数系数微分方程解的增长性问题.当存在某个系数或自由项对方程解的性质起主要支配作用时,得到了方程解的迭代级及其零点的迭代收敛指数的精确估计,推广了已有的结果.     

Phase retrieval from double axially displaced holograms for dual-wavelength in-line holography

A phase retrieval method for dual-wavelength in-line digital holography is presented with double axially displaced holograms.A synthetic wavelength is used during iterative propagations to retrieve wrap-free phase distributions with a much extended measurement range.The simulation and experimental results demonstrate a better elimination of the twin image,a faster rate of convergence of the iterative routine and less number of wavelengths are compared with previously reported multiple-wavelength in-line holography.     

Novel iteration-free blind phase noise estimation for coherent optical OFDM

We propose a novel iteration-free blind phase noise estimation scheme for coherent optical orthogonal frequency division multiplexing （CO-OFDM） systems. In the new algorithm, the cost function is selected as the similar expression with real and imaginary parts as that in the modified constant modulus algorithm, and the new cost function is derived under some assumptions, where it is infinitely approximated by the sine and cosine functions. By means of the analytical formula of the cost function, the initial coarse common phase error can be obtained with only some samples, where the algorithm avoids computational complexity of conventional blind phase noise compensation scheme. In CO-OFDM systems with high-order modulation format （32 quadrature amplitude modulation） and narrow linewidth lasers, it is proved by the simulation results that the nhase noise can be effectively compensated with the proposed blind estimation method.