Splitting problem for WKB asymptotics in a nonresonant case and the reduction method for linear systems

DOI10.1134/S0081543817040162zbMath1379.34019OpenAlexW2753529349MaRDI QIDQ1675246

S. A. Stepin

Publication date: 27 October 2017

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543817040162

zbMATH Keywords

asymptotic integrationreduction of ordergrowth/decrease rate at infinity

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Linear ordinary differential equations and systems (34A30) Asymptotic properties of solutions to ordinary differential equations (34D05) Nonautonomous smooth dynamical systems (37C60)

Cites Work

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• Asymptotic integration of functional differential systems with oscillatory decreasing coefficients
• Asymptotic integration of nonoscillatory second-order differential equations
• Asymptotic integration of adiabatic oscillators
• A unified theory of asymptotic integration
• Averaging method in the asymptotic integration problem for systems with oscillatory-decreasing coefficients
• Asymptotic Integrations of the Adiabatic Oscillator

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