Asymptotics of the solution to the boundary-value problems when limited equation has singular point

DOI10.1134/S1995080220010138zbMath1456.34066OpenAlexW3016013431MaRDI QIDQ2207007

Yanyan Li

Publication date: 27 October 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080220010138

zbMATH Keywords

singular perturbationasymptotic expansionboundary value problemlinear ODE

Mathematics Subject Classification ID

Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (4)

Asymptotics of the solution of bisingularly perturbed first boundary value problem ⋮ Asymptotics of the solution to the boundary-value problems with non smooth coefficient ⋮ Asymptotic solution of the Robin problem with a regularly singular point ⋮ Singularly perturbed ordinary differential equation with turning point and interior layer

Cites Work

• Unnamed Item
• Unnamed Item
• Recent progresses in boundary layer theory
• The asymptotic solution of the bisingular Robin problem
• Nonsmooth eigenfunctions in problems of mathematical physics
• Composite asymptotic expansions
• An unstable differential turning point in the theory of singular perturbations
• Asymptotic solution of linear bisingular problems with additional boundary layer
• A boundary function method for solving the model Lighthill equation with a regular singular point
• A method for constructing asymptotic expansions of bisingularly perturbed problems
• Formal solutions of singularly-perturbed linear differential systems
• Generalization of the boundary function method for solving boundary-value problems for bisingularly perturbed second-order differential equations
• Asymptotic expansions of solutions to Dirichlet problem for elliptic equation with singularities
• Riemann-Hilbert problem for scalar Fuchsian equations and related problems
• A New Method for Solving Singularly Perturbed Boundary Value Problems
• ASYMPTOTIC EXPANSION OF THE SOLUTION OF THE DIRICHLET PROBLEM FOR A RING WITH A SINGULARITY ON THE BOUNDARY
• Asymptotics of solutions of the stationary and nonstationary Maxwell systems in a domain with small cavities
• Regular degeneration and boundary layer for linear differential equations with small parameter

This page was built for publication: Asymptotics of the solution to the boundary-value problems when limited equation has singular point