Internal layer for a system of singularly perturbed equations with discontinuous right-hand side

DOI10.1134/S0012266118120054zbMath1417.34127OpenAlexW2916060039MaRDI QIDQ2420869

Pang Yafei, Ni Mingkang, N. T. Levashova

Publication date: 7 June 2019

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

Full work available at URL: https://doi.org/10.1134/s0012266118120054

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Discontinuous ordinary differential equations (34A36) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (7)

Asymptotics of the solution to a stationary piecewise-smooth reaction-diffusion-advection equation ⋮ Internal layer for a singularly perturbed equation with discontinuous right-hand side ⋮ Existence and stability of periodic contrast structure in reaction-advection-diffusion equation with discontinuous reactive and convective terms ⋮ Multizonal internal layers in the singularly perturbed equation with a discontinuous right-hand side ⋮ Solution of contrast structure type for a reaction-diffusion equation with discontinuous reactive term ⋮ Asymptotics of the solution to a stationary piecewise-smooth reaction-diffusion equation with a multiple root of the degenerate equation ⋮ Existence and stability of periodic solution of contrast structure type in discontinuous singularly perturbed reaction-convection-diffusion problem

Cites Work

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• Solution of contrast structure type for a parabolic reaction-diffusion problem in a medium with discontinuous characteristics
• Internal layers for a singularly perturbed second-order quasilinear differential equation with discontinuous right-hand side
• Step-like contrasting structures for a system of singularly perturbed equations
• Time-independent reaction-diffusion equation with a discontinuous reactive term

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