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.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 3, pp. 412–430, March, 2007.
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Samoilenko, A.M., Petryshyn, R.I. & Danylyuk, I.M. Averaging of initial-value and multipoint problems for oscillation systems with slowly varying frequencies and deviated argument. Ukr Math J 59, 459–483 (2007). https://doi.org/10.1007/s11253-007-0029-9
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DOI: https://doi.org/10.1007/s11253-007-0029-9