On a question in the theory of almost periodic differential equations

被引：11

作者：

Hu, ZS ^{[1
]}

Mingarelli, AB ^{[1
]}

机构：

[1] Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 127卷 / 09期

关键词：

second-order; almost periodic; boundedness;

D O I：

10.1090/S0002-9939-99-04738-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that there exists a real homogeneous differential equation of order n with classical almost periodic coefficients such that all solutions are uniformly bounded on the real line yet no non-trivial solution is almost periodic. This now appears to make the search for a Floquet theory of such equations a futile enterprise.

引用

页码：2665 / 2670

页数：6