TY - JOUR
AU - V. Yu. Slyusarchuk
PY - 2016/09/25
Y2 - 2020/11/29
TI - Conditions of existence of bounded and almost periodic solutions of nonlinear
differential equation with perturbations of solutions
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 68
IS - 9
SE - Research articles
DO -
UR - http://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 -