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1.
Normal Families and Shared Values   总被引:55,自引:0,他引:55  
For f a meromorphic function on the plane domain D and a C,let f(a) = {z D: f(z) = a}. Let F be a family of meromorphicfunctions on D, all of whose zeros are of multiplicity at leastk. If there exist b 0 and h > 0 such that for every f F,f(0) = f(k)(b) and 0 < |f(k+1)(z)| h whenever z f(0), thenF is a normal family on D. The case f(0) = Ø is a celebratedresult of Gu [5]. 1991 Mathematics Subject Classification 30D45,30D35.  相似文献
2.
Over the past decade, the field of finite-dimensional variational inequality and complementarity problems has seen a rapid development in its theory of existence, uniqueness and sensitivity of solution(s), in the theory of algorithms, and in the application of these techniques to transportation planning, regional science, socio-economic analysis, energy modeling, and game theory. This paper provides a state-of-the-art review of these developments as well as a summary of some open research topics in this growing field.The research of this author was supported by the National Science Foundation Presidential Young Investigator Award ECE-8552773 and by the AT&T Program in Telecommunications Technology at the University of Pennsylvania.The research of this author was supported by the National Science Foundation under grant ECS-8644098.  相似文献
3.
四阶奇异边值问题两个正解的存在性   总被引:32,自引:1,他引:31       下载免费PDF全文
庞常词  韦忠礼 《数学学报》2003,46(2):403-410
本文利用锥压缩和锥拉伸不动点定理,给出了四阶微分方程奇异边值问题两 个C2[0,1]和C3[0,1]正解的存在性.  相似文献
4.
Error bounds in mathematical programming   总被引:22,自引:0,他引:22  
Originated from the practical implementation and numerical considerations of iterative methods for solving mathematical programs, the study of error bounds has grown and proliferated in many interesting areas within mathematical programming. This paper gives a comprehensive, state-of-the-art survey of the extensive theory and rich applications of error bounds for inequality and optimization systems and solution sets of equilibrium problems. This work is based on research supported by the U.S. National Science Foundation under grant CCR-9624018.  相似文献
5.
Normality and shared values   总被引:19,自引:0,他引:19  
LetF be a family of meromorphic functions on the unit disc Δ and leta andb be distinct values. If for everyfF,f andf′ sharea andb on Δ, thenF is normal on Δ. The first author was supported by NNSF of China approved no. 19771038 and by the Research Institute for Mathematical Sciences, Bar-Ilan University.  相似文献
6.
This paper presents a sequential quadratic programming algorithm for computing a stationary point of a mathematical program with linear complementarity constraints. The algorithm is based on a reformulation of the complementarity condition as a system of semismooth equations by means of Fischer-Burmeister functional, combined with a classical penalty function method for solving constrained optimization problems. Global convergence of the algorithm is established under appropriate assumptions. Some preliminary computational results are reported.  相似文献
7.
This paper presents a sequential quadratic programming algorithm for computing a stationary point of a mathematical program with linear complementarity constraints. The algorithm is based on a reformulation of the complementarity condition as a system of semismooth equations by means of Fischer-Burmeister functional, combined with a classical penalty function method for solving constrained optimization problems. Global convergence of the algorithm is established under appropriate assumptions. Some preliminary computational results are reported.  相似文献
8.
M—矩阵的等价表征   总被引:15,自引:0,他引:15  
本文引进了按环路弱不约非零元素对角占优的概念,讨论了M-矩阵的等价条件,给出了M-矩阵的两个等价表征,改进与推广了(1),(2),(5),(9)的相应结果。  相似文献
9.
盲数的概念、运算与性质   总被引:15,自引:0,他引:15  
本文阐述了“盲数”产生的背景,给出了“盲数”的定义、运算与性质。“盲数”是用来表达和处理具有多种不确定性的较复杂信息的数学工具。  相似文献
10.
滏阳河水质综合评价   总被引:13,自引:0,他引:13  
本利用未确知测度模型对滏阳河水质污染程度进行综合评价,模型建立在未确知测度空间基础上,根据评价空间的有序性,建立置信度识别准则与评分准则,是水环境质量综合评价的实用模型。  相似文献
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