Averaging of a high-frequency hyperbolic system of quasi-linear equations with large terms

DOI10.46698/A2304-7639-9051-DMaRDI QIDQ6497116

V. B. Levenshtam

Publication date: 6 May 2024

Published in: Vladikavkazskiĭ Matematicheskiĭ Zhurnal (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemjustification of averaging methodlarge terms rapidly oscillating in timemultidimensional hyperbolic system of quasi-linear equations

Mathematics Subject Classification ID

Averaging method for ordinary differential equations (34C29) First-order hyperbolic systems (35L40) First-order hyperbolic equations (35L02) Systems of linear first-order PDEs (35F35)

Cites Work

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• Higher-order approximations of the averaging method for parabolic initial-boundary value problems with rapidly oscillating coefficients
• A theorem on averaging for hyperbolic systems of first order
• On the averaging principle for hyperbolic equations along characteristics
• Global and semilocal theorems on implicit and inverse functions in Banach spaces
• Justification of the averaging method for parabolic equations containing rapidly oscillating terms with large amplitudes
• Local Mapping Relations and Global Implicit Function Theorems
• First-order partial differential equations with large high-frequency terms

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