Existence of a solution and averaging of nonlinear multifrequency problems with delay
AbstractThe 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.
How to Cite
Bigun, Y. I. “Existence of a Solution and Averaging of Nonlinear Multifrequency Problems With Delay”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, no. 4, Apr. 2007, pp. 435–446, https://umj.imath.kiev.ua/index.php/umj/article/view/3318.