A Construction of Co-H Spaces

ＡＣｏｎｓｔｒｕｃｔｉｏｎｏｆＣｏ－ＨＳｐａｃｅｓＷａｎｇＸｕ（王旭）（Ｉｎｓｔ．ｏｆＭａｔｈ．，ＡｃａｄｅｍｉｃａＳｉｎｉｃａ，北京，１０００８０）ＣｏｍｍｕｎｉｃａｔｅｄｂｙＳｈｅｎＸｉｎｙａｏＲｅｃｅｉｖｅｄＯｃｔ．１３，１９９４ＡＣｏｎｓｔｒ...     

CARATHEODORY TYPE CAUCHY PROBLEMS IN BANACH SPACES

ＣＡＲＡＴＨＥＯＤＯＲＹＴＹＰＥＣＡＵＣＨＹＰＲＯＢＬＥＭＳＩＮＢＡＮＡＣＨＳＰＡＣＥＳＣｕｉＣｈａｎｇｊｎｎ（崔长军）（ＳｈａｎｄｏｎｇＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，山东师范大学，邮编：２５００１４）Ａｂｓｔｒａｃｔ：ＬｅｔＥｂｅａｒｅａｌＢａ...     

QUANTUM GAUSSIAN PROCESSES

ＱＵＡＮＴＵＭＧＡＵＳＳＩＡＮＰＲＯＣＥＳＳＥＳＷＡＮＧＹＡＺＨＥＮ（王亚珍）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃａｌＳｔａｔｉｓｔｉｃｓ，ＥａｓｔＣｈｉｎａＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｓｈａｎｇｈａｉ２０００６２，Ｃｈｉｎａ）Ａｂｓ...     

GLOBAL ANALYSIS OF A CLASS OF CUBIC SYSTEMS

ＧＬＯＢＡＬＡＮＡＬＹＳＩＳＯＦＡＣＬＡＳＳＯＦＣＵＢＩＣＳＹＳＴＥＭＳＷａｎｇＸｉａｎ（王现）（ＮａｎｊｉｎｇＵｎｉｖｅｒｓｉｔｙ，南京大学，邮编：２１００９３）Ａｂｓｔｒａｃｔ：Ｔｈｅｐａｐｅｒｇｉｖｅｓａｃｏｍｐｌｅｔｅｇｏｌｂａｌｐｈａｓｅｐ...     

COLLISION AND MEETING OF STABLE PROCESSES

ＣＯＬＬＩＳＩＯＮＡＮＤＭＥＥＴＩＮＧＯＦＳＴＡＢＬＥＰＲＯＣＥＳＳＥＳ￥（骆顺龙）ＬｕｏＳｈｕｎｌｏｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｂｅｉｊｉｎｇ１０００８０，Ｃｈｉｎａ．）Ａｂｓｔｒ...     

几个三角形面积比定理的统一证明

本文约定：△ＡＢＣ的三内角Ａ，Ｂ，Ｃ的对边长分别为ａ，ｂ，ｃ，面积为Ｓ，且△ＡＢＣ的半周长为ｐ＝１２（ａ＋ｂ＋ｃ），内切圆半径长为ｒ（＝４ＲｓｉｎＡ２ｓｉｎＢ２ｓｉｎＣ２）．本刊文［１］给出了下面关于锐角三角形的内接三角形面积的一个不等式链Ｓ垂足△?..     

ON INCLUSION RELATIONS BETWEEN BERS-ORLICZ SPACES

ＯＮＩＮＣＬＵＳＩＯＮＲＥＬＡＴＩＯＮＳＢＥＴＷＥＥＮＢＥＲＳ－ＯＲＬＩＣＺＳＰＡＣＥＳＺｈａｏＲｕｈａｎ（赵如汉）（Ｉｎｓｔ．ｏｆＭａｔｈ．Ｓａｃ．，ＣｈｉｎｅｓｅＡｃａｄｅｍｙｏｆＳｃｉｅｎｃｅｄ，Ｗｕｈａｎ４３００７１，Ｃｈｉｎａ）Ａｂｓｔｒａ...     

OPTIMAL DESIGN OF THE CROSS SECTION IN A NUCLEAR REACTOR

ＯＰＴＩＭＡＬＤＥＳＩＧＮＯＦＴＨＥＣＲＯＳＳＳＥＣＴＩＯＮＩＮＡＮＵＣＬＥＡＲＲＥＡＣＴＯＲ￥（ＳｏｎｇＤｅｇｏｎｇ（宋德功）ＪｉａｎｇＷｅｉｈｕａ（江卫华）ＷａｎｇＭｉａｎｓｅｎ（王绵森）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，Ｘｉ＇ａ...     

A Remarkon Non－uniform Estimates AboutSumofIndependentRandomVariables

ＡＲｅｍａｒｋｏｎＮｏｎ┐ｕｎｉｆｏｒｍＥｓｔｉｍａｔｅｓＡｂｏｕｔＳｕｍｏｆＩｎｄｅｐｅｎｄｅｎｔＲａｎｄｏｍＶａｒｉａｂｌｅｓ＊）ＣｈｅｎｇＰｉｎｇ（成平）（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｂｅｉ...     

THE CONTINUOUS CASTING PON α-BLOCH FUNCTIONS AND VMOA

ＯＮα－ＢＬＯＣＨＦＵＮＣＴＩＯＮＳＡＮＤＶＭＯＡ￥（赵如汉）ＺｈａｏＲｕｈａｎ（ＷｕｈａｎＩｎｓｔｉｔｕｔｅｏｆＭａｔｈｅｍａｔｉｃａｌＳｃｉｅｎｃｅｓ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｗｕｈａｎ４５００７１，Ｃｈｉｎａ）Ａｂｓｔｒａｃｔ：Ｉｎｔｈｉ...     

A new approach for solutions of the (2 + 1)-dimensional cubic nonlinear Schrödinger equation

A new method to solve the nonlinear evolution equations is presented, which combines the two kind methods – the tanh function method and symmetry group method. To demonstrate the method, we consider the (2 + 1)-dimensional cubic nonlinear Schrödinger (NLS) equation. As a result, some novel solitary solutions of the Schrödinger equation are obtained. And graphs of some solutions are displayed.     

Weak embedding of planar graphs

A weak embedding of a graphG is an embedding ofG with all the faces being tours. In this paper, for some planar graphs the weak maximum genus of them are given. And for the planar graphG, a characterization of whetherG can be weakly embedded on the nonspherical surfaces is obtained.     

一类新的带参数的Hilbert 型积分不等式

In this paper it is shown that a new Hilbert-type integral inequality can be established by introducing two parameters m（m ∈ N） and λ（λ 0）.And the constant factor expressed by the Bernoulli number and π is proved to be the best possible.And then some important and especial results are enumerated.As applications,some equivalent forms are given.     

一类算子方程的正算子解的研究

对算子方程X+A~*X~(-2)A=Q有正算子解的条件做了进一步的研究,得到了方程有正算子解时A,Q,X的范数、谱半径之间新的关系.并给出了算子方程X+A~*X~(-t)A=Q有正算子解的一些条件.     

时间离散Hopfield神经网络系统的若干问题

如果一个Ｈｏｐｆｉｅｌｄ神经网络系统是时间离散,状态连续的,就 为时间离散的ＨＮＮＳ,对这种系统,如果在它的算子的作用下,状态的能量函数具有固定的增,减趋势,那私就称之为单向的ＴＤ－ＨＮＮＳ。     

Linear and nonlinear error bounds for lower semicontinuous functions

In this paper, we give some characterizations of linear and nonlinear error bounds for lower semicontinuous functions by a new notion, called subslope. And, extend some results of Azé and Corvellec (SIAM J Optim 12:913–927, 2002) and Corvellec and Motreanu (Math Program Ser A 114:291–319, 2008) slightly. Furthermore, we get a sufficient and necessary condition for global linear error bounds.     

Models of superconducting–normal–superconducting junctions

A time-dependent Ginzburg–Landau-type model of a superconducting–normal–superconducting junction is presented. The existence and the uniqueness of the solutions are proved. When the data of the model are symmetric of some kinds, the solutions turns out to be symmetric of some kinds. In this symmetric case, an approximate model with the small thickness of the normal material in the middle of the junction as coefficients of a differential system is established for the sake of numerical computations. And also the existence and the uniqueness of the solution to this approximate model are set up. © 1998 by B. G. Teubner Stuttgart–John Wiley & Sons Ltd.     

具纯离散谱的u-标算子

本文研究一类具纯离散谱的非自伴算子,证明了该类算子在弱拓扑意义下可以特征展开的充分必要条件是该类算子是u-标的(u-scalar),又等价于该类算子拟仿射相似于自伴算子.并给出例子,说明其在弱拓扑意义下可以特征展开,但不属于经典的标型谱算子(Spectral operator of scalar type).     

运动界面的追踪和重构方法

提出了一种简单有效并且精确的高分辨率运动界面追踪方法——无结构网格特征型积分平均有限体积法．并且对包括该方法在内的六种界面重构方法做了一些数值试验和评估．通过精确的数值模拟,详细的比较和分析了这些方法的优缺点．     

Existence,uniqueness and approximation for <Emphasis Type="Italic">L</Emphasis><Superscript>p</Superscript> solutions of reflected BSDEs with generators of one-sided Osgood type

We prove several existence and uniqueness results for L ^p (p > 1) solutions of reflected BSDEs with continuous barriers and generators satisfying a one-sided Osgood condition together with a general growth condition in y and a uniform continuity condition or a linear growth condition in z. A necessary and sufficient condition with respect to the growth of barrier is also explored to ensure the existence of a solution. And, we show that the solutions may be approximated by the penalization method and by some sequences of solutions of reflected BSDEs. These results are obtained due to the development of those existing ideas and methods together with the application of new ideas and techniques, and they unify and improve some known works.