Integral equations and exponential trichotomy of skew-product flows.
Sasu, Adina Luminiţa, Sasu, Bogdan (2011)
Advances in Difference Equations [electronic only]
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Displaying similar documents to “Translation invariant spaces and asymptotic properties of variational equations.”
Integral equations and exponential trichotomy of skew-product flows.
On exponential dichotomy of variational difference equations.
Sasu, Bogdan (2009)
Discrete Dynamics in Nature and Society
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On dichotomous behavior of variational difference equations and applications.
Sasu, Bogdan (2009)
Discrete Dynamics in Nature and Society
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Pairs of function spaces and exponential dichotomy on the real line.
Sasu, Adina Luminiţa (2010)
Advances in Difference Equations [electronic only]
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Banach function spaces and exponential instability of evolution families
Mihail Megan, Adina Luminiţa Sasu, Bogdan Sasu (2003)
Archivum Mathematicum
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In this paper we give necessary and sufficient conditions for uniform exponential instability of evolution families in Banach spaces, in terms of Banach function spaces. Versions of some well-known theorems due to Datko, Neerven, Rolewicz and Zabczyk, are obtained for the case of uniform exponential instability of evolution families.
Stability of difference equations and applications to robustness problems.
Sasu, Bogdan (2010)
Advances in Difference Equations [electronic only]
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Exponential dichotomy for evolution families on the real line.
Sasu, Adina Luminiţa (2006)
Abstract and Applied Analysis
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On uniform exponential -dichotomy
M. Megan, D.R. Latcu (1994)
Annales mathématiques Blaise Pascal
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Exponential stability and exponential instability for linear skew-product flows
Mihail Megan, Adina Luminiţa Sasu, Bogdan Sasu (2004)
Mathematica Bohemica
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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.