On approximation of averaging operator

Aleksandras  Krylovas

doi:10.15388/LMR.2008.11

Articles

Aleksandras Krylovas

Vilniaus Gedimino technikos universitetas

Published 2008-12-21

https://doi.org/10.15388/LMR.2008.11

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Keywords

averaging
small denominators
perturbation method
differential equations

How to Cite

Krylovas, A. (2008) “On approximation of averaging operator”, Lietuvos matematikos rinkinys, 48(proc. LMS), pp. 66–71. doi:10.15388/LMR.2008.11.

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Abstract

An algorithm for constructing approximations of averaging operators of quasi-periodical functions is presented in the paper. The algorithm can be used for constructinguniformly valid for a long time asymptotical solutions of differential equations with small parameter.

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