右端不连续奇异摄动问题的空间对照结构

doi:10.12066/j.issn.1007-2861.2259

Abstract

Abstract:

This paper surveys recent developments in spatial contrast structure solutions to singularly perturbed problems with discontinuous right-hand sides. Studies on second-order non-linear singularly perturbed problems, including semi-linear, quasi-linear, and weakly non-linear system Dirichlet problems, are reviewed. In addition, the first-order ordinary differential equations under homogeneous Neumann conditions are discussed. A type of piecewise-continuous second-order Dirichlet problems of the Tikhonov system and boundary value problem of a singularly perturbed parabolic equation with a discontinuous term is also included.

Key words: singularly perturbed system, right end discontinuities, contrast spatial structure solution, slow-fast system, boundary layer function method, sewing connection method

CLC Number:

O175.14

NI Mingkang, PAN Yafei, WU Xiao. Spatial contrast structure for singular perturbation problems with right end discontinuities[J]. Journal of Shanghai University（Natural Science Edition）, 2020, 26(6): 853-883.

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Spatial contrast structure for singular perturbation problems with right end discontinuities

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