Exponential dichotomy and time-bounded solutions for first-order hyperbolic systems

被引：2
|
作者：
Shirikyan A. [1 ]
Volevich L. [2 ]
机构：
[1] Département de Mathématiques, Université Paris-Sud XI, Bâtiment425
[2] Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047 Moscow
来源：
Journal of Dynamics and Differential Equations | 2002年 / 14卷 / 4期
基金：
俄罗斯基础研究基金会;
关键词：
Bounded and almost periodic solutions; Exponential dichotomy; First-order hyperbolic systems;
D O I：
10.1023/A:1020760510158
中图分类号：
学科分类号：
摘要：
The paper is devoted to studying a class of strongly hyperbolic systems of the first order. We show that if the characteristic roots of the full symbol are outside an open strip containing the real axis, then the homogeneous system possesses an exponential dichotomy and the inhomogeneous system is solvable in the space of time-bounded and almost periodic functions. We also discuss some results on the behavior of solutions for nonlinear equations in the neighborhood of a stationary point. ©2002 Plenum Publishing Corporation.
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页码：777 / 827
页数：50
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