2018
Том 70
№ 1

# Conditions for the existence and uniqueness of bounded solutions of nonlinear differential equations

Slyusarchuk V. Yu.

Abstract

We establish conditions required for the existence and uniqueness of bounded solutions of the nonlinear differential equation $f_1\left(\frac{dx(t)}{dt} \right) = f_2(x(t)), t ∈ ℝ$.

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 2, pp 320-335.

Citation Example: Slyusarchuk V. Yu. Conditions for the existence and uniqueness of bounded solutions of nonlinear differential equations // Ukr. Mat. Zh. - 2009. - 61, № 2. - pp. 268-279.

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