Regularization method for systems with a weak nonlinearity in the resonance case

DOI10.1007/BF01230987zbMath0427.34051OpenAlexW2013944978MaRDI QIDQ1136920

S. A. Lomov, Valeriĭ Fedorovich Safonov

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1007/bf01230987

zbMATH Keywords

regularization methodresonance casesingularly perturbed Cauchy problem

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Singular perturbations for ordinary differential equations (34E15)

Related Items (3)

Point resonance in a system of two oscillators ⋮ Asymptotic solution of the Cauchy problem for the singularly perturbed partial integro-differential equation with rapidly oscillating coefficients and with rapidly oscillating heterogeneity ⋮ Method of regularization and the solvability in the large of truncated equations by the method of averaging

Cites Work

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