The logarithmic norm. History and modern theory

In his 1958 thesis Stability and Error Bounds, Germund Dahlquist introduced the logarithmic norm in order to derive error bounds in initial value problems, using differential inequalities that distinguished between forward and reverse time integration. Originally defined for matrices, the logarithmic norm can be extended to bounded linear operators, but the extensions to nonlinear maps and unbounded operators have required a functional analytic redefinition of the concept.This compact survey is intended as an elementary, but broad and largely self-contained, introduction to the versatile and powerful modern theory. Its wealth of applications range from the stability theory of IVPs and BVPs, to the solvability of algebraic, nonlinear, operator, and functional equations. In memory of Germund Dahlquist (1925–2005).AMS subject classification (2000) 65L05     

The maximum principle for the Bergman space and the Möbius pseudodistance for the annulus

It is shown that the formula for the Möbius pseudodistance for the annulus yields better estimates than previously known for the constant in the Bergman space maximum principle.

     

Large deviation principle for enhanced Gaussian processes

We study large deviation principles for Gaussian processes lifted to the free nilpotent group of step N. We apply this to a large class of Gaussian processes lifted to geometric rough paths. A large deviation principle for enhanced (fractional) Brownian motion, in Hölder- or modulus topology, appears as special case.     

校园网设计规划研究

以西南交大郫县新校区的校园网规划为例,简述了整个校园网设计规划方案.     

一类排列的计数问题

应用容斥原理解决了不含连续数对的一系列排列的计数问题。并将其进行了推广。     

300 MW直接空冷机组启动冲洗工艺探讨

以华泽铝电空冷机组为例，对300MW直接空冷机组的启动冲洗工艺进行了探讨，并对其冲洗方法和冲洗原则进行了较为详细的介绍。     

对生态美学的两点质疑

作为生态美学重要的哲学——美学原则的“生态中心主义”，潜藏着颠覆“人本位主义”的危险；而作为对自然进行所谓“生态学的重新审视”而提出的“自然的复魅”，也存在着容易导致另一个极端的不良趋势，并且缺乏可操作性。本文拟对上述观点提出质疑和批评。     

Caristi 不动点定理的推广及应用

本文推广了古典的Garisti不动点定理,作为应用,古典的Ekeland变分原理得到了推广,并且证明了推广的Garisti不动点定理和推广的Ekeland变分原理是等价的．     

环形线电荷的电场分布

给出了圆环形线电荷电场分布的理论公式，并利用计算机计算出其具体分布规律。     

杨庄煤矿塌陷湖水资源勘查计算

通过对塌陷湖的实地勘查,运用水均衡原理,计算出该湖可供开采的水资源,认为该塌陷湖可作为淮北市供水后备水源地之一。