A version of a theorem of A. M. Lyapunov for the stability and instability of evolution families in Banach spaces

DOI10.14232/ACTASM-012-566-4zbMATH Open1340.34190OpenAlexW2329405526MaRDI QIDQ2936865

C. Praţa

Publication date: 7 January 2015

Published in: Acta Scientiarum Mathematicarum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/actasm-012-566-4

zbMATH Keywords

exponential stabilityevolution familyexponential instabilityLyapunov operator inequality

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Stability of solutions to ordinary differential equations (34D20) Linear differential equations in abstract spaces (34G10) Asymptotic properties of solutions to ordinary differential equations (34D05)

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