Sobolev Stability of Plane Wave Solutions to the Nonlinear Schrödinger Equation

This article explores the questions of long time orbital stability in high order Sobolev norms of plane wave solutions to the NLSE in the defocusing case.     

市级党校图书馆功能转变研究

为了更好应对信息技术发展带来的挑战，市级党校图书馆应明确功能定位，确定图书馆功能转变的路径方式，客观分析影响图书馆功能转变的不利因素，制定具体措施，实现市级党校图书馆的功能转变。     

Binary functions,degeneracy, and alternating dimaps

This paper continues the study of combinatorial properties of binary functions — that is, functions $f:2^E\to ?$ such that $f(0?)=1$, where $E$ is a finite set. Binary functions have previously been shown to admit families of transforms that generalise duality, including a trinity transform, and families of associated minor operations that generalise deletion and contraction, with both these families parameterised by the complex numbers. Binary function representations exist for graphs (via the indicator functions of their cutset spaces) and indeed arbitrary matroids (as shown by the author previously). In this paper, we characterise degenerate elements – analogues of loops and coloops – in binary functions, with respect to any set of minor operations from our complex-parameterised family. We then apply this to study the relationship between binary functions and Tutte’s alternating dimaps, which also support a trinity transform and three associated minor operations. It is shown that only the simplest alternating dimaps have binary representations of the form we consider, which seems to be the most direct type of representation. The question of whether there exist other, more sophisticated types of binary function representations for alternating dimaps is left open.     

带变量核的分数次积分交换子在变指数Herz-Morrey空间上的有界性

证明了带变量核的分数次积分算子T_(Ω,μ)与Lipschitz函数b生成的高阶交换子[b~m,T_(Ω,μ)]在变指数Herz-Morrey空间MK_(q,p)~(α,λ)(·)(R~n)上的有界性.     

Reconsideration on Homogeneous Quadratic Riemann Boundary Value Problem

The homogeneous quadratic Riemann boundary value problem (1) with Hoelder continuous coefficients for the normal case was considered by the author in 1997. But the solutions obtained there are incomplete. Here its general method of solution is obtained.     

含PM-映射的变分不等式

文章在自反Banach空间中，利用锐角原理讨论了含PM-映射的变分不等式解的存在性问题。     

新时期档案工作浅议

为接受新时期档案工作所面临的机遇与挑战，档案工作必须体现其时代性、把握其规律性、并要富于创造性，实现服务功能的多元化与服务效率的最大化，为两个文明事业的发展提供源源不断的信息资源支持。     

关于Nevanlinna四值定理

用一种不同于先前的方法 ,研究了与Nevanlinna四值定理有关的开问题 ,改进了若干已有结果     

焊接过程的RBF神经网络建模

介绍了RBF神经网络的性能和算法结构 ,建立了RBF神经网络在船舶焊接过程中用于焊接变形预测分析的模型 ,并探讨了其应用和发展趋势