Almost periodic and almost automorphic dynamics for scalar convex differential equations

被引：0

作者：

Sylvia Novo

Rafael Obaya

Ana M. Sanz

机构：

[1] Universidad de Valladolid,Departamento de Matemática Aplicada E.T.S. de Ingenieros Industriales

[2] Universidad de Valladolid,Departamento de Análisis Matemático y Didáctica de la Matemática Facultad de Ciencias

来源：

Israel Journal of Mathematics | 2004年 / 144卷

关键词：

Differential Equation; Group Theory; Periodic Dynamic; Bounded Trajectory; Automorphic Dynamic;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the set of bounded trajectories for the flow defined by a class of scalar convex differential equations depending on a parameter. It is found that there exists precisely one value of the parameter for which almost automorphic but not almost periodic dynamics may appear. Even for this parameter value, the occurrence of almost periodic dynamics is shown to be residual in some cases. The dependence of this parameter on the functions defining the differential equations is also studied.

引用

页码：157 / 189

页数：32

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