On weak exponential stability of evolution operators in Banach spaces

DOI10.1016/j.na.2010.06.017zbMath1218.47065OpenAlexW2081230936MaRDI QIDQ988136

Ioan-Lucian Popa, Mihail Megan, Nicolae Lupa

Publication date: 26 August 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.06.017

zbMATH Keywords

uniform exponential stabilityevolution operatorsweak exponential stability

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Nonlinear differential equations in abstract spaces (34G20) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (5)

On weak exponential expansiveness of skew-evolution semiflows in Banach spaces ⋮ Admissible Banach function spaces and nonuniform stabilities ⋮ On uniform \(h\)-stability of non-autonomous evolution equations in Banach spaces ⋮ On nonuniform dichotomy for stochastic skew-evolution semiflows in Hilbert spaces ⋮ Exponential dichotomies of evolution operators in Banach spaces

Cites Work

• On uniform N-equistability
• Equivalence of Lp stability and exponential stability for a class of nonlinear semigroups
• Uniform Asymptotic Stability of Evolutionary Processes in a Banach Space
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