Levitan/Bohr almost periodic and almost automorphic solutions of scalar differential equations

被引：3

作者：

Cheban, David ^{[1
]}

机构：

[1] State Univ Moldova, Fac Math & Informat, Dept Fundamental Math, Kishinev, Moldova

来源：

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2018年 / 33卷 / 04期

关键词：

Bohr; Levitan almost periodic solution; almost automorphic solutions; scalar differential equations; uniform stability; non-autonomous dynamical systems; cocycle; MINIMAL TRANSFORMATION GROUPS; TOPOLOGICAL DYNAMICS; FINITE EXTENSIONS; SYSTEMS;

D O I：

10.1080/14689367.2018.1433817

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to prove the existence of Levitan/Bohr almost periodic, almost automorphic, recurrent and Poisson stable solutions of the scalar differential equations. The existence of at least one quasi-periodic (respectively, Bohr almost periodic, almost automorphic, recurrent, pseudo recurrent, Levitan almost periodic, almost recurrent, Poisson stable) solution of sclalar differential equations is proved under the condition that it admits at least one bounded solution on the positive semi-axis which is uniformly Lyapunov stable.

引用

页码：667 / 690

页数：24

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