Projector approach to the Butuzov-Nefedov algorithm for asymptotic solution of a class of singularly perturbed problems in a critical case

DOI10.1134/S0965542520120076zbMath1465.34073OpenAlexW3121079861MaRDI QIDQ828134

Nguyen Thi Hoai, Galina A. Kurina

Publication date: 8 January 2021

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520120076

zbMATH Keywords

singular perturbationasymptotic solutionmultiple-scale

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (3)

Zero-order asymptotics for the solution of one type of singularly perturbed linear-quadratic control problems in the critical case ⋮ Singularly perturbed problems with multi-tempo fast variables ⋮ Projector approach to constructing the asymptotics of solution of initial value problems for weakly nonlinear discrete systems with small step in the critical case

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• A Singular Singularly-Perturbed Linear Boundary Value Problem
• Zero‐order asymptotic solution of a class of singularly perturbed linear‐quadratic problems with weak controls in a critical case

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