@article{Bigun_2007, title={Existence of a solution and averaging of nonlinear multifrequency problems with delay}, volume={59}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/3318}, abstractNote={The method of averaging over the fast variables is applied to the investigation of multifrequency systems with linearly transformed argument. We prove the existence of solutions of the initial-and boundary-value problems in a small neighborhood of the solution of the averaged problem and estimate the error of the method of averaging for slow variables.}, number={4}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Bigun, Ya. I.}, year={2007}, month={Apr.}, pages={435–446} }