极值复特征的值域(英文)

本文考虑单位圆U={Z||Z|<1}到自身上的极值拟共形映照复特征的值域。在复特征值域的适当限制下,得到一个判别极值复特征的充要条件。作为特殊情形,改进了Qrtel和Smith的结果。

TRAVELLING FRONT SOLUTION FOR A CLASS OF COMPETITION-DIFFUSION SYSTEM WITH HIGH-ORDER SINGULAR POINT

In thispaper,theexistence oftravelling frontsolution fora classofcom petition-diffu- sion system w ith high-order singular point w it = diw ixx - w αii fi(w ),x ∈R,t> 0,i= 1,2 (Ⅰ) is studied,w here di,αi> 0 (i= 1,2) and w = (w 1(x,t),w 2(x,t)).Under the certain assum ptions on f,itis show ed thatifαi< 1 for som e i,then (Ⅰ) has no travelling frontsolution,ifαi≥1 for i= 1,2,then there isa c0,c:c0≥c> 0,w herecis called the m inim alwavespeed of(Ⅰ),such thatifc≥c0 orc= c,then (Ⅰ) has a travelling frontsolution,ifc< c,then (Ⅰ) hasno travel- ling frontsolution by using the shooting m ethod in com bination w ith a com pactness argum ent.

一类二阶中立型方程的振动准则

本文建立了一类二阶中立型方程解的振动准则.

UNIQUENESS OF POSITIVE SOLUTIONS OF A CLASS OF QUASILINEAR ORDINARY DIFFERENTIAL EQUATIONS

Uniqueness results are obtained for positive solutions of a class of quasilinear ordinary differential equations.The methods rely on the energy analysis and a scale argument.

一代国学名师的心路历程——评汤序波的《汤炳正传》

这部三十万字的《汤炳正传》不仅以质朴而又生动的笔触,描叙了一代国学名师汤炳正一生历经的坎坷磨难与乎在逆境中献身于学术研究百折不挠的意志与毅力,且以愈挫愈奋的卓异风采在语言文字和屈原楚辞研究上所作出的突出贡献。作者满怀着无限崇敬赞誉汤炳正先生提倡独立思考、坚持自由论辩的学术风范,成就了一代宗师的诗性人生。