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Averaging method in some problems of the theory of nonlinear oscillations

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Abstract

By using the averaging method, we prove the solvability of multipoint problems for nonlinear oscillation systems. The deviation of the solutions of original and averaged problems is estimated.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    R. I. Petrishin

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  1. R. I. Petrishin
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 6, pp. 801–810, June, 1995.

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Petrishin, R.I. Averaging method in some problems of the theory of nonlinear oscillations. Ukr Math J 47, 924–935 (1995). https://doi.org/10.1007/BF01058783

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  • DOI: https://doi.org/10.1007/BF01058783

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