Singularly perturbed Cauchy problem in which the limit operator has multiple spectrum and a weak first-order turning point

DOI10.1134/S0012266122060027zbMath1504.34143OpenAlexW4297810005WikidataQ114075314 ScholiaQ114075314MaRDI QIDQ2172442

P. V. Kirichenko, A. G. Eliseev

Publication date: 15 September 2022

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266122060027

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear ordinary differential equations and systems (34A30) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (2)

Solution of a singularly perturbed mixed problem on the half-line for a parabolic equation with a strong turning point of the limit operator ⋮ Regularized asymptotics of the solution of a singularly perturbedmixed problem on the semiaxis for an equation of Schrodinger type in the presence of a strong turning point for the limit operator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Singularly perturbed problems in case of exchange of stabilities
• THEORY OF SINGULAR PERTURBATIONS IN THE CASE OF SPECTRAL SINGULARITIES OF THE LIMIT OPERATOR
• Regularized asymptotics of solutions to integro-differential partial differential equations with rapidly varying kernels

This page was built for publication: Singularly perturbed Cauchy problem in which the limit operator has multiple spectrum and a weak first-order turning point