2017
Том 69
№ 7

All Issues

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

Bigun Ya. I.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 4, pp 485-499.

Citation Example: Bigun Ya. I. Existence of a solution and averaging of nonlinear multifrequency problems with delay // Ukr. Mat. Zh. - 2007. - 59, № 4. - pp. 435–446.

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