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• W3120992094 abstract "We focus on the presence of almost automorphy in strongly monotone skew-product semiflows on Banach spaces. Under the $C^1$-smoothness assumption, it is shown that any linearly stable minimal set must be almost automorphic. This extends the celebrated result of Shen and Yi [Mem. Amer. Math. Soc. 136(1998), No. 647] for the classical $C^{1,alpha}$-smooth systems. Based on this, one can reduce the regularity of the almost periodically forced differential equations and obtain the almost automorphic phenomena in a wider range." @default.
• W3120992094 created "2021-01-18" @default.
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• W3120992094 date "2021-01-03" @default.
• W3120992094 modified "2023-09-23" @default.
• W3120992094 title "Almost automorphy of minimal sets for $C^1$-smooth strongly monotone skew-product semiflows on Banach spaces" @default.
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