@article{Mynbayeva_Stanzhitskii_Marchuk_2020, title={Averaging in boundary-value problems for systems of differential and integrodifferential equations}, volume={72}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/1071}, abstractNote={<p>UDC 517.9</p> <p>The 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.<span class="Apple-converted-space"> </span>It is shown that if the averaged boundary-value problem has a solution, then the original problem also has a solution.<span class="Apple-converted-space"> </span>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<span class="Apple-converted-space"> </span>system of ordinary differential equations.</p>}, number={2}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={Mynbayeva, S. T. and Stanzhitskii, A. N. and Marchuk, N. A.}, year={2020}, month={Feb.}, pages={245-266} }