Coppel-Conti Sets of Linear Differential Systems

被引：0
作者：
N. A. Izobov
R. A. Prokhorova
机构：
[1] Institute for Mathematics,Department of Mechanics and Mathematics
[2] National Academy of Sciences of Belarus,undefined
[3] Belarusian State University,undefined
来源：
Journal of Dynamics and Differential Equations | 2003年 / 15卷 / 2-3期
关键词：
Coppel-Conti sets; linear systems; -dichotomy;
D O I：
10.1023/B:JODY.0000009737.22865.3e
中图分类号：
学科分类号：
摘要：
The paper is the account of the results obtained mainly by the authors in the theory of Coppel-Conti sets of linear differential systems with Lp-dichotomy and their important subsets LpS and MpS of asymptotically stable and unstable linear systems, respectively: the solution of Conti problem about the narrowing property of these sets when the parameter p>0 increases, the description of the structure of the interior and integral interior of the indicated sets and their limit sets, in particularly, the solution of the second Conti problem about coincidence of the interior of the set Limp→+∞LpS with the set itself, the construction of some generalizations.
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页码：281 / 303
页数：22
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