A nonlinear dynamical system on the set of Laguerre entire functions

被引：4

作者：

Kozitsky, Y ^{[1
]}

Wolowski, L ^{[1
]}

机构：

[1] Marie Curie Sklodowska Univ, Inst Math, PL-20031 Lublin, Poland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 49卷 / 01期

关键词：

holomorphic operators; fixed points; stability; convergence; Cauchy problem;

D O I：

10.1016/S0362-546X(01)00098-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonlinear dynamical system on the set of Laguerre entire functions is studied. The evolution operator is constructed as a holomorphic nonlinear map between certain Frechet spaces of entire functions for this dynamical system. The description of the phenomena is based upon the properties of the evolution operator fixed points. The limit theorems for strongly and weakly dependent N-dimensional random vectors are also proved.

引用

页码：61 / 86

页数：26

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