Existence of a solution and averaging of nonlinear multifrequency problems with delay

  • Ya. I. Bigun


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.
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.
Research articles