Sci Math | Integral manifolds of a general model of evolutionary processes with impulse effect

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Integral manifolds of a general model of evolutionary processes with impulse effect

Authors: Bernd Aulbach, Nguyễn Văn Minh, Petr Petrovich Zabreĭko,

https://doi.org/10.1016/0362-546X(94)90042-6

Publisher, magazine: ,

Publication year: 1994

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Abstract

Finally, the authors prove that a linear cocycle with an exponential dichotomy is structurally stable under small linear perturbations (for similar results on differential equations on $\mathbb{R}^n$, the reader may consult another paper [the reviewer and \textit{O. Hájek}, Differential Integral Equations 3, No. 6, 1201-1224 (1990; Zbl 0722.34053)]).

Tags: cocycle with impulse effect; Hilbert space; spectral dichotomy; exponential dichotomy; integral manifolds

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