TY - JOUR
AU - S. T. Mynbayeva
AU - A. N. Stanzhitskii
AU - N. A. Marchuk
PY - 2020/02/15
Y2 - 2024/02/26
TI - Averaging in boundary-value problems for systems of differential and integrodifferential equations
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 72
IS - 2
SE - Research articles
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1071
AB - UDC 517.9The averaging method is applied to the investigation of the problem of existence of solutions of boundary-value problems for systems of differential and integrodifferential equations. It is shown that if the averaged boundary-value problem has a solution, then the original problem also has a solution. It is worth noting that, in this case, the system obtained as a result of averaging of a system of integrodifferential equations has the form of a simpler system of ordinary differential equations.
ER -