Justification of the averaging method for weakly nonlinear operator equations

DOI10.1007/BF00973065zbMath0786.34071OpenAlexW2067656059MaRDI QIDQ1316954

V. Pereyra

Publication date: 23 March 1994

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

Full work available at URL: https://doi.org/10.1007/bf00973065

zbMATH Keywords

Cauchy problemBanach spacenonlinear operatorperturbed system of hyperbolic equationstwo-scale averaging method

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Averaging method for ordinary differential equations (34C29) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Cites Work

• Unnamed Item
• Asymptotic approximation of solutions of weakly linear differential systems
• Nonlinear singular perturbation problems: Proofs of correctness of a formal approximation based on a contraction principle in a Banach space

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