We establish conditions required for the existence and uniqueness of bounded solutions of the nonlinear differential equation \( {f_1}\left( {\frac{{dx(t)}}{{dt}}} \right) = {f_2}\left( {x(t)} \right) \), t ∈ ℝ.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 2, pp. 268 – 279, February, 2009.
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Slyusarchuk, V.Y. Conditions for the existence and uniqueness of bounded solutions of nonlinear differential equations. Ukr Math J 61, 320–335 (2009). https://doi.org/10.1007/s11253-009-0204-2
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DOI: https://doi.org/10.1007/s11253-009-0204-2