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math.FA2024
A non-uniform Datko-Pazy theorem for bounded operator semigroups
Lassi Paunonen, David Seifert, Nicolas Vanspranghe
We present a non-uniform analogue of the classical Datko-Pazy theorem. Our main result shows that an integrability condition imposed on orbits originating in a fractional domain of…
math.FA2024★ 3 cited
Stability of abstract coupled systems
Serge Nicaise, Lassi Paunonen, David Seifert
We study stability of abstract differential equations coupled by means of a general algebraic condition. Our approach is based on techniques from operator theory and systems theory…