关于锥理论和增算子的某些问题

证明了在自反空间中,正规锥和全正则锥是等价的,并证明了增算子的某些不动点定理,改进了〔3〕中的某些结果.本文的部分结果,已在〔2〕中宣布(证明未发表)。     

Ω（M：N1,N2）中临界点存在性的证明

设Ｎ１和Ｎ２是黎曼流形的Ｍ的两个光滑闭子流形且Ｎ１Ｎ２＝Φ。本文给出在Ｍ中联结Ｎ１和Ｎ２的曲线族Ω（Ｍ：Ｎ１，Ｎ２）的临界点存在性的证明。     

Developing the methodology of TSI: From the oblique use of methods to creative design

During the last 13 years, a dialogue has been conducted in the Critical Systems literature on the subject of choice betwen methods. However, in the late 1980s and early 1990s, researchers went in two separate directions. One direction involved an exploration of the “creative design of methods.” This is when the problem situation is understood in terms of a series of systemically interrelated research questions, each of which might need to be addressed using a different method, or part of a method. A synthesis is generated that allows each individual research question to be addressed as part of a whole system of questions. The other research direction involved the development of “Total Systems Intervention” (TSI), a meta-methodology that, amongst other things, encourages the creative exploration of the problem situation prior to the choice of methods. One of the latest innovations in TSI is a theory of the “oblique” use of methods. This is the use of methods for purposes other than those they were originally designed for. However, it is argued here that all the case studies that have been subject to an “oblique” interpretation can be better explained if they are seen as examples of the creative design of methods. We can therefore bring together the two strands of research that have hitherto been pursued separately in the Critical Systems literature. it is suggested that TSI can be enhanced by an understanding of the creative design of methods because the latter allows us to explain the purposive, flexible, and responsive way in which TSI is most successfully used in practice.     

关于多参数局部分歧的一个问题

引进Ｌ０－Ｌ本征值的新概念，讨论了更加一般的非线性方程的分歧问题，并得到有关结果。     

阻尼RLW方程周期解的渐近性

证明了在一个适当稠密但却有限的结点集上，若已知阻尼ＲＬＷ方程周期解的渐近性，则这个解自身的渐近性可被完全确定。并给出了确定解的渐近性所需结点数目一个上界估计。     

一个验证“电流负反馈改变输出阻抗”的实用线路

设计了一套实用的实验电路，给普通实验室中难以验证“电流负反馈提高输出阻抗”的课题提供了一种有效的方法。     

椭圆型边值问题的一个三解定理

本文用非线性的一些典型方法,得到具有零解的二阶椭圆型边值问题在一些简单条件下至少有二个非平凡解的结论。     

外场对双模化学振荡反应的影响

本文利用微扰理论对有外场作用时,存在奇波模和偶波模相互作用的化学振荡(波)体系的次级分支行为进行了初步的探讨,所得结论与有关实验结果基本相符。     

二维射影变换的二重元素

研究了二维射影变换的二重元素与其变换矩阵的特征根之间的关系，指出了在什么条件下出现二重点（二重直线），在什么条件下出现二重点列（二重线束），探讨了二重点与二重直线之间的内在联系。