Abstract
We study the problem of instability of solutions of differential equations with a stationary linear part and a nonstationary nonlinear compact part in a Banach space.
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Slyusarchuk, V.E. Theorems on instability of systems with respect to linear approximation. Ukr Math J 48, 1251–1262 (1996). https://doi.org/10.1007/BF02383871
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DOI: https://doi.org/10.1007/BF02383871