The Stability of Runge－Kutta Methods for Systems of Delay Differential Equations

ＴｈｅＳｔａｂｉｌｉｔｙｏｆＲｕｎｇｅ－ＫｕｔｔａＭｅｔｈｏｄｓｆｏｒＳｙｓｔｅｍｓｏｆＤｅｌａｙＤｉｆｆｅｒｅｎｔｉａｌＥｑｕａｔｉｏｎｓ￥ＷＡＮＧＸｉａｏｂｉａｏ；ＬＩＵＭｉｎｇｚｈｕ(王晓彪)(刘明珠)（Ｄｅｐｔ．ｏｆＭａｔｈｅｍａｔｉｃｓ，Ｈａｒ...     

A Differential Continuation－Regularization Method for Solving Inverse Problems of Acoustic Wave Equations

ＡＤｉｆｆｅｒｅｎｔｉａｌＣｏｎｔｉｎｕａｔｉｏｎ－ＲｅｇｕｌａｒｉｚａｔｉｏｎＭｅｔｈｏｄｆｏｒＳｏｌｖｉｎｇＩｎｖｅｒｓｅＰｒｏｂｌｅｍｓｏｆＡｃｏｕｓｔｉｃＷａｖｅＥｑｕａｔｉｏｎｓ￥（张大力）（韩波）（刘家琦）（姜立功）ＺＨＡＮＧＤａｌｉ；Ｈ...     

A Method of Wide Convergence Region for Solving Inverse Problems of Wave Equations

ＡＭｅｔｈｏｄｏｆＷｉｄｅＣｏｎｖｅｒｇｅｎｃｅＲｅｇｉｏｎｆｏｒＳｏｌｖｉｎｇＩｎｖｅｒｓｅＰｒｏｂｌｅｍｓｏｆＷａｖｅＥｑｕａｔｉｏｎｓＬＩＵＪｉａｑｉ；ＱＩＡＮＪｉａｎｌｉａｎｇ；ＨＡＮＢｏ刘家琦，钱建良，韩波（Ｄｅｐｔ．ｏｆＭａｔｈｅｍａｔｉ...     

Uncountable Infinity of Periodic Solutions of Some Nonlinear Autonomous Differential－Difference Equations

ＵｎｃｏｕｎｔａｂｌｅＩｎｆｉｎｉｔｙｏｆＰｅｒｉｏｄｉｃＳｏｌｕｔｉｏｎｓｏｆＳｏｍｅＮｏｎｌｉｎｅａｒＡｕｔｏｎｏｍｏｕｓＤｉｆｆｅｒｅｎｔｉａｌ－ＤｉｆｆｅｒｅｎｃｅＥｑｕａｔｉｏｎｓＬｉＪｉｂｉｎ，ＺｈａｏＸｉａｏｈｕａ，ＬｉｎＹｉｐｉｎｇ（...     

A New Method to Prepare Hydroxylapatite Coating of Implants

1Introdution Theplsmasprayingprocesswaswidelyusedinthe pasttopreparehydroxylapatitecoatingofimplants[1,2].Butthismethodeasilyleadstothedecompositionofhydroxylapatiteabove1250℃accordingtothefollowing Formula(1)and(2)[3]:Ca10(PO4)60相似文献   

A New Method to Locate the Region of Interest（ROI） of Palmprint

Biometric identification was a kind of identity recognition technology by making use of the human’s unique physiological or behavioral characteristics, it provided a high reliability and stability way for the identification. Global threshold binarization palmprint image is used in this paper, and the bio-morphological methods are used to get the sensitive area of palmprint image’s positioning point, so as to extract the region of interest. The palmprint collection is realized on the FPGA chip, and this kind of collection method uses the DSP Builder toolbox to realize visual programming in Matlab/Simulink and achieve fast modeling and development. The practice proves that this method is simple, flexible and its equipment is portable and fast.     

A Limit Theorem for Solutions of Backward Stochastic Differential Equations

1 Introduction and Preliminaries1.1 IntroductionIf the function g is Lipschitz in both variables yand z , and that ξ and (g(s,0,0))e[0,T] are squareintegrable, there exists a unique adapted and squareintegrable solution to a backward stochastic differe-ntial equation (BSDE) of type[1](1)where: g is the generator of BSDE (1); (T,ξ)areterminal conditions; (g,T,ξ) are standardparameters of BSDE (1). The unique adapted andsquare integrable solution of BSDE (1) denotesSince this kind of…     

A New Approach to Speed Measurement of Rotating Objects by Laser Interference Method

ＡＮｅｗＡｐｐｒｏａｃｈｔｏＳｐｅｅｄＭｅａｓｕｒｅｍｅｎｔｏｆＲｏｔａｔｉｎｇＯｂｊｅｃｔｓｂｙＬａｓｅｒＩｎｔｅｒｆｅｒｅｎｃｅＭｅｔｈｏｄＬＩＰｅｎｇｓｈｅｎｇＺＨＡＮＧＺｈｕｏＺＨＡＯＨｕｉｊｉｅＣＨＥＮＪｕｎ（李鹏生）（张琢）（赵慧洁）（陈...     

A Note on the Embedding of Delay Equations into an Infinite-dimensional ODE System

ＡＮｏｔｅｏｎｔｈｅＥｍｂｅｄｄｉｎｇｏｆＤｅｌａｙＥｑｕａｔｉｏｎｓｉｎｔｏａｎＩｎｆｉｎｉｔｅ－ｄｉｍｅｎｓｉｏｎａｌＯＤＥＳｙｓｔｅｍＺＨＡＯＪｉｎｇｊｕｎ，ＬＩＵＭｉｎｇｚｈｕ（赵景军）（刘明珠）（Ｄｅｐｔ．ｏｆＭａｔｈｅｍａｔｉｃｓ，Ｈａｒ...     

一类二阶半线性时滞微分方程的振动准则

建立一类二阶半线性时滞微分方程的几个振动准则.利用一个新的方法,得到所有解振动的一些充分条件,新的结论改善和推广了一些相关文献的振动准则,给出的例子用来阐明新的结论.     

小噪声随机延迟微分方程欧拉方法的收敛性

随机延迟微分方程数值方法中欧拉方法是唯一较为成熟、有效的方法,但欧拉方法的收敛性差,其收敛阶仅为1/2.针对一类特殊的方程即小噪声随机延迟微分方程,给出其欧拉方法更精确的收敛阶,表明欧拉方法是近似1阶收敛的.此外还通过数值实验验证所得结论.     

两个时滞微分方程的全局渐近稳定性

讨论具有形式的两个时滞微分方程。通过先推广文献[2]的结果,而后利用它给出了这两个时滞微分方程模型的全局渐近稳定性。同时与文献[3]的结果作了比较。     

具有状态依赖时滞的微分方程初值问题的解

考虑具有状态依赖时滞的泛函微分方程x′(t)=f(t,x(t-r(xt))),对其满足初始条件x0=φ的解的基本性质进行了研究,其中f:[0,∞)×R→R,φ∈C.利用步法构造迭代序列,证明了此方程初值问题的解在区间[-h,∞)上存在唯一,且Lipschitz连续.该结论推广了H.O.Walther的相关结果.     

一类滞后型泛函微分方程解的渐近性

本文讨论方程Lnx(t)+sum from j=0 to m(b_j(t)f_i(X(t-τ_j(t))))=p(t)(其中)解的渐近性质,给出了解有界及解趋于零的判定准则。     

一类三阶时滞微分方程的稳定性和有界性

通过类比法构造Lyapunov泛函,讨论了一类三阶时滞微分方程零解的渐近稳定性和所有解的有解性,给出了其零解渐近稳和所有解有界的充分性准则.     

中立型时滞微分方程的振动性

研究时滞微分方程（ｘ（ｔ）－Ｐ（ｔ）ｘ（ｔ－ι）’＋Ｑ（ｔ）ｘ（ｔ－σ）＝０的解的振动性,给出保证其每一解振动的一组充分条件,推广郑祖庥教授等的许多相应结果。