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

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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.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 4, pp. 435–446, April, 2007.

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Bihun, Y.I. Existence of a solution and averaging of nonlinear multifrequency problems with delay. Ukr Math J 59, 485–499 (2007). https://doi.org/10.1007/s11253-007-0030-3

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  • DOI: https://doi.org/10.1007/s11253-007-0030-3

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