Yue, Tian; Liu, Kaituo Hölder’s characterizations for the uniform exponential stability of linear skew-product semiflows in Banach spaces. (Chinese. English summary) Zbl 1463.34252 Math. Pract. Theory 50, No. 7, 292-296 (2020). Summary: The aim of this paper is to give several Hölder’s characterizations for uniform exponential stability properties of linear skew-product semiflows in Banach space \(X\) and its dual space \(X^*\). The necessary and sufficient conditions for uniform exponential stability are obtained via functional analysis and operator theory. The results extend some well-known conclusions in stability theory. MSC: 34G10 Linear differential equations in abstract spaces 34D20 Stability of solutions to ordinary differential equations 47D03 Groups and semigroups of linear operators 47D06 One-parameter semigroups and linear evolution equations Keywords:uniform exponential stability; linear skew-product semiflows; Hölder’s inequality; dual space PDFBibTeX XMLCite \textit{T. Yue} and \textit{K. Liu}, Math. Pract. Theory 50, No. 7, 292--296 (2020; Zbl 1463.34252)