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

• Date: 2009
• Main Authors: Slyusarchuk, V. Yu., Слюсарчук, В. Ю.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2009
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3018
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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