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\int_{t_0}^t ce^{s\alpha} \gamma \|x(s)\| ds. $$ Z Gronwallova lemmatu (Lemma \ref{lemma-gronwall}) dostáváme $$ e^{t\alpha} \| x(t) \| \leq ce^{t_0\alpha} \|x_0\| e^{c\gamma(t - t_0)}. $$ Po opětovném přenásobení exponenciálou nakonec máme