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Exponential instability of linear skew-product semiflows in terms of Banach function spaces. (English) Zbl 1063.34048

The authors prove necessary and sufficient conditions for “uniform exponential instability” of linear skew-product semiflows that extend several previous results on instability of evolution equations.

MSC:

34G10 Linear differential equations in abstract spaces
34D05 Asymptotic properties of solutions to ordinary differential equations
47D06 One-parameter semigroups and linear evolution equations
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