Linear approximations for differential equations in Banach spaces and Lyapunov stability

DOI10.1134/S106456240905024XzbMath1205.34070OpenAlexW2093403554MaRDI QIDQ1048552

V. A. Trenogin

Publication date: 12 January 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s106456240905024x

zbMATH Keywords

Lyapunov stability

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Linear differential equations in abstract spaces (34G10)

Related Items (1)

Stability of solutions to the Cauchy problem with respect to linear approximation, and branching equation in the root subspace

Cites Work

• The Lyapunov theorem on stability with respect to linear approximation as a corollary to the implicit operator theorem
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