随机非线性算子的随机拓扑度的计算与应用(英文)  

Calculations of Random Topological Degrees of Random Nonlinear Operators and Applications

作　　者：尹建东[1] 程财生 

机构地区：[1]南昌大学数学系,江西南昌330031 [2]北京防化学院,北京102205

出　　处：《应用数学》2013年第1期11-17,共7页Mathematica Applicata

基　　金：Supported by the Foundation from the Jiangxi Education Department(GJJ11295);the Foundation of Jiangxi Province(20114BAB201006)

摘　　要：本文主要研究随机拓扑度的计算问题,获得随机不动点的一些结果,所得结果改进和推广了最近一些文献中所得结论.作为应用,本文研究了随机积分方程随机解的存在性问题.In this paper,we mainly investigate some computational problems of random topological degree and obtain several random fixed point results. The presented results generalize and improve some known results of recent works. As an application,we study the existence of the random solu- tion of a random integral equation.

关 键 词：随机拓扑度 凸函数 同伦不变性 

分 类 号：O177.91[理学—数学]