Abstract
We prove the existence of continuously differentiable solutions \(x:(0,{\rho ]} \to \mathbb{R}^n\) such that
or
where
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Zernov, A.E., Kuzina, Y.V. Asymptotic Behavior of Solutions of the Cauchy Problem x′ = f(t, x, x′), x(0) = 0. Ukrainian Mathematical Journal 54, 2060–2066 (2002). https://doi.org/10.1023/A:1024037718175
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DOI: https://doi.org/10.1023/A:1024037718175