Closed irregularity sets of linear differential systems with a parameter multiplying the derivative

被引:0
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作者
A. V. Lipnitskii
机构
[1] National Academy of Science,Institute for Mathematics
来源
Differential Equations | 2011年 / 47卷
关键词
Linear System; Lyapunov Exponent; Real Line; Closed Subset; Arbitrary Real Number;
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学科分类号
摘要
For any closed subset M of the real line that does not contain zero, we construct a linear differential system with bounded piecewise continuous coefficient matrix A(·) such that the corresponding system with coefficient matrix µA(·) linearly depending on a real parameter µ is Lyapunov irregular for all µ in M and Lyapunov regular for all other parameter values.
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页码:187 / 192
页数:5
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