TY - JOUR AU - V. Yu. Slyusarchuk PY - 2016/09/25 Y2 - 2024/03/29 TI - Conditions of existence of bounded and almost periodic solutions of nonlinear differential equation with perturbations of solutions JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 68 IS - 9 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1921 AB - We present the conditions of existence and uniqueness of bounded solutions of a nonlinear scalar differential equation$dx(t)/dt=f(x(t)+h(t)),\; t \in R$, in the case where a function $f$ is continuous on $R$ and a function $h$ is bounded and continuous. In addition, we study the case of an almost periodic function $h$. ER -