Abstract
MSC: 93C10, 45G15 DOI: 10.21538/0134-4889-2021-27-3-271-285 We obtain an analogue of Wilcox–Snyder formula for flows of diffeomorphisms of $C^m$-smooth vector fields on infinite-dimensional Banach manifolds. For classical linear system this formula can be efficiently used, for example, to obtain Magnus expansion of solutions. The generalized Wilcox formula is obtained by using
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