实值可料过程关于集值Wiener过程的伊藤积分

为研究实值可料过程关于可积有界紧凸集值 Wiener过程的伊藤积分 ,先从简单实值可料过程入手 ,以支撑函数为工具 ,给出相关定义及性质。然后借助于简单过程构造出一般过程的轨道 ,把结论推广到一般实值可料过程 ,给出其关于可积有界紧凸集值

Fredholm映射的集值紧摄动的拓扑度

<正> 本文中我们将对零指标Fredholm映射的集值紧摄动建立拓扑度理论,以适应解决某些非光滑问题的需要.§1预备知识零指标Fredholm映射的单值连续紧摄动的拓扑度理论是本文的基础,这方面的知识见[1].对于度量空间(X,d)中的二非空子集A与B,记d(A,B)=sup{d(x,B)|x∈A}.设F:X→2~E是集值映射.对A(?)X,记F(A)=∪F(x).F的值域F(x)记为R(F),

Brezis-Nirenberg Theorem on Non_compact Sets

In present paper we prove that on non_compact sets the conclusion in the Brezis_Nirenberg Theorem is also true.

空间F^＊上一类积分算子的若干性质

在引文[1－4]的基础上，讨论了[5]中所提及的一类积分算子的若干性质和一类积分方程的可解性。

Ⅰ-fuzzy拓扑空间中的P-紧度

用不等式引入了Ⅰ-fuzzy拓扑空间中p-紧度的概念,并进一步讨论了其有关性质.

The Extension of a Compact Set-Valued Measure

In [ 1 ], the convexity, existence of selectors and Radon-Nikodym derivative of a set-valued measure have been developed . This paper is to invetigate the structure and extension of a compact set-valued measure.

Measures of Semi Noncompactness and Set Valued AM Mappings

In this paper we define measures of semi noncompactness in a locally convex topological linear space with respect to a given seminorm. Then we get a fixed point theorem for a class of condensing set valued mappings and apply it to differential inclusions.