POSITIVITY METHODS FOR DICHOTOMY OF LINEAR SKEW-PRODUCT FLOWS ON HILBERT SPACES
作者:
Abdelaziz Rhandi,
期刊:
Quaestiones Mathematicae
(Taylor Available online 1994)
卷期:
Volume 17,
issue 4
页码: 499-512
ISSN:1607-3606
年代: 1994
DOI:10.1080/16073606.1994.9631781
出版商: Taylor & Francis Group
关键词: 47B38;58F10;46L57;47A10
数据来源: Taylor
摘要:
In [Na-Rh] we developed a method based on positivity in order to characterize the stability of the evolution family corresponding to the nonautonomous Cauchy problem in Hilbert spaces. This method is extended to the study of hyperbolicity of linear skew-products. We also show that exponential dichotomy of a linear skew-product flow is equivalent to the existence of a Hermitian valued solution of some linear Riccati equation.
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