2017
Том 69
№ 9

All Issues

Averaging of initial-value and multipoint problems for oscillation systems with slowly varying frequencies and deviated argument

Danylyuk I. M., Petryshyn R. I., Samoilenko A. M.

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Abstract

We prove new theorems on the substantiation of the method of averaging over all fast variables on a segment and a semiaxis for multifrequency systems with deviated argument in slow and fast variables. An algorithm for the solution of a multipoint problem with parameters is studied, and an estimate for the difference of solutions of the original problem and the averaged problem is established.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 3, pp 459-483.

Citation Example: Danylyuk I. M., Petryshyn R. I., Samoilenko A. M. Averaging of initial-value and multipoint problems for oscillation systems with slowly varying frequencies and deviated argument // Ukr. Mat. Zh. - 2007. - 59, № 3. - pp. 412–430.

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