ALMOST AUTOMORPHIC SOLUTIONS FOR DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT

被引：3

作者：

Zhang, Li-Li ^{[1
]}

Li, Hong-Xu ^{[2
]}

机构：

[1] Shijiazhuang Tiedao Univ, Dept Math & Phys, Shijiazhuang 050043, Hebei, Peoples R China

[2] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2014年 / 90卷 / 01期

关键词：

exponential dichotomy; almost automorphic function; almost automorphic sequence; piecewise constant argument; PERIODIC SOLUTIONS;

D O I：

10.1017/S0004972713001020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the method of exponential dichotomies, we establish a new existence and uniqueness theorem for almost automorphic solutions of differential equations with piecewise constant argument of the form x'(t) = A(t) x(t) + B(t) x([t]) + f (t); t is an element of R, where [.] denotes the greatest integer function, and A(t), B(t) : R -> R-qxq, f(t) : R -> R-q are all almost automorphic.

引用

页码：99 / 112

页数：14

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