Exponential stability and exponential instability for linear skew-product flows

Mihail Megan; Adina Luminiţa Sasu; Bogdan Sasu

Mathematica Bohemica (2004)

  • Volume: 129, Issue: 3, page 225-243
  • ISSN: 0862-7959

Abstract

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We give characterizations for uniform exponential stability and uniform exponential instability of linear skew-product flows in terms of Banach sequence spaces and Banach function spaces, respectively. We present a unified approach for uniform exponential stability and uniform exponential instability of linear skew-product flows, extending some stability theorems due to Neerven, Datko, Zabczyk and Rolewicz.

How to cite

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Megan, Mihail, Sasu, Adina Luminiţa, and Sasu, Bogdan. "Exponential stability and exponential instability for linear skew-product flows." Mathematica Bohemica 129.3 (2004): 225-243. <http://eudml.org/doc/249412>.

@article{Megan2004,
abstract = {We give characterizations for uniform exponential stability and uniform exponential instability of linear skew-product flows in terms of Banach sequence spaces and Banach function spaces, respectively. We present a unified approach for uniform exponential stability and uniform exponential instability of linear skew-product flows, extending some stability theorems due to Neerven, Datko, Zabczyk and Rolewicz.},
author = {Megan, Mihail, Sasu, Adina Luminiţa, Sasu, Bogdan},
journal = {Mathematica Bohemica},
keywords = {linear skew-product flow; uniform exponential stability; uniform exponential instability; linear skew-product flow; uniform exponential stability; uniform exponential instability},
language = {eng},
number = {3},
pages = {225-243},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Exponential stability and exponential instability for linear skew-product flows},
url = {http://eudml.org/doc/249412},
volume = {129},
year = {2004},
}

TY - JOUR
AU - Megan, Mihail
AU - Sasu, Adina Luminiţa
AU - Sasu, Bogdan
TI - Exponential stability and exponential instability for linear skew-product flows
JO - Mathematica Bohemica
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 129
IS - 3
SP - 225
EP - 243
AB - We give characterizations for uniform exponential stability and uniform exponential instability of linear skew-product flows in terms of Banach sequence spaces and Banach function spaces, respectively. We present a unified approach for uniform exponential stability and uniform exponential instability of linear skew-product flows, extending some stability theorems due to Neerven, Datko, Zabczyk and Rolewicz.
LA - eng
KW - linear skew-product flow; uniform exponential stability; uniform exponential instability; linear skew-product flow; uniform exponential stability; uniform exponential instability
UR - http://eudml.org/doc/249412
ER -

References

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