Lyapunov functions for trichotomy with growth rates of evolution operators in Banach spaces

zbMATH Open1474.34374arXiv1809.06826MaRDI QIDQ5149121

Mihail Megan, Violeta Terlea

Publication date: 6 February 2021

Abstract: The main objective of this paper is to give a characterization in terms of Lyapunov functions for trichotomy with growth rates of evolution operators in Banach spaces.

Full work available at URL: https://arxiv.org/abs/1809.06826

zbMATH Keywords

growth ratesLyapunov functionevolution operatortrichotomy

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

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