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Asymptotic decomposition of systems of nonlinear ordinary differential equations

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Publication:797750
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DOI10.1007/BF01057469zbMath0545.34037OpenAlexW1983575311MaRDI QIDQ797750

Yu. O. Mitropol's'kii, Alexey K. Lopatin

Publication date: 1984

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01057469


zbMATH Keywords

small parameterasymptotic expansionsVan der Pol equationconstruction of solutionsLie seriessimilarity principleoperator decomposition with averaging scheme


Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear ordinary differential equations and systems (34A34) Asymptotic expansions of solutions to ordinary differential equations (34E05)





Cites Work

  • Linear methods in problems of non-linear differential equations with a small parameter
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