C~l -G_V TRIVIALITY OF FUNCTION GERMS AND NEWTON POLYHEDRA

We provide estimates on the degree of C l GV determinacy ( G is one of Mather’s groups R or K ) of function germs which are defined on analytic variety V and satisfies a non-degeneracy condition with respect to some Newton polyhedron. The result gives an explicit order such that the C l geometrical structure of a function germ is preserved after higher order perturbations, which generalizes the result on C l G triviality of function germs given by M.A.S.Ruas.     

某类实解析与复解析分歧问题的R-有限决定及K-有限决定问题的注记

该文给出了某类实解析与复解析分歧问题是不能R-有限决定的．并利用上述结果证明了一类分岐问题是不能K-有限决定的．同时给出了一个K-有限决定但不能R-有限决定的个例子,它说明在分岐问题中R-有限决定与K-有限决定不是互为充要的条件．     

再论成本加成定价的动力学

Ｈａｎｓｏｎｐ「３」将成本加成定价作为一个动力学过程进行分析。本文推广了Ｈａｎｓｏｎ的命题３，纠正了Ｈａｎｓｏｎ命题的２的一个并得出正确的结果。对Ｕ－形平均成本曲线的成本加成定价导出了这一动力学过程产生混沌的充分条件，并讨论了这些结果的经济含义。     

C-GV triviality of function germs and Newton polyhedra

We provide estimates on the degree of C l GV determinacy ( G is one of Mather’s groups R or K ) of function germs which are defined on analytic variety V and satisfies a non-degeneracy condition with respect to some Newton polyhedron. The result gives an explicit order such that the C l geometrical structure of a function germ is preserved after higher order perturbations, which generalizes the result on C l G triviality of function germs given by M.A.S.Ruas.     

一类有指数分布的随机投入产出模型

本文导出独立的指数分布随机变量和的分布公式，利用它求出技术系数和最终需求都为指数分布随机变量的投入产出模型的确定性等价方程，推广了Ｈａｒｒｉｓ和Ｇｏｉｃｏｅｃｈｅａ的结果．     

(r, s)-STABILITY OF UNFOLDING OF г-EQUIVARIANT BIFURCATION PROBLEM

In this paper,the (?)-equivariant (s, t)-equivalence relation and (?)-equivariant infinitesimally (r, s)-stability of (?)-equivariant bifurcation problem are defined. The criterion for (?)-equivariant infinitesimally (r, s)-stability is proven when (?) is a compact finite Lie group .Transversality condition is used to characterize the stability.     

关于可微映射正则点的某些结果

本文讨论Sard定理的弱扩充及无限维流形间Fredholm映射的正则点问题。     

Newton滤子与分歧问题的C0接触等价d-决定性

从Newton滤子的观点出发,构造出奇异Riemann度量, 使用奇点理论方法对分歧问题进行研究,给出了分歧问题中的C⁰接触等价d-决定的充分条件, 从而推广了孙伟志和邹建成等人的结果.     

V-BILIPSCHITZ DETERMINACY OF WEIGHTED HOMOGENEOUS ANALYTIC FUNCTION-GERMS ON WEIGHTED HOMOGENEOUS REAL ANALYTIC VARIETIES

In this article, we provide estimates for the degree of V bilipschitz determinacy of weighted homogeneous function germs defined on weighted homogeneous analytic variety V satisfying a convenient Lojasiewicz condition.The result gives an explicit order such that the geometrical structure of a weighted homogeneous polynomial function germs is preserved after higher order perturbations.