NONLINEAR SINGULAR SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS WITH DISCONTINUOUS RIGHT-HAND SIDE

Shitao Liu; Mingkang Ni

doi:10.11948/20220169

NONLINEAR SINGULAR SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS WITH DISCONTINUOUS RIGHT-HAND SIDE

Shitao Liu
, Mingkang Ni^*

^*此作品的通讯作者

数学科学学院

School Of Mathematical Science
East China Normal University
Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

In this paper, an asymptotic method for nonlinear singular singularly perturbed boundary value problems with discontinuous right-hand side is investigated. We not only show existence of a solution with a step-like contrast structure, but also construct an asymptotic expansion of the solution. In addition, remainder estimation of the approximate solution is also given. Finally, an example is used to verify the correctness of the above theory.

源语言	英语
页（从-至）	845-859
页数	15
期刊	Journal of Applied Analysis and Computation
卷	13
期	2
DOI	https://doi.org/10.11948/20220169
出版状态	已出版 - 4月 2023

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abstract = "In this paper, an asymptotic method for nonlinear singular singularly perturbed boundary value problems with discontinuous right-hand side is investigated. We not only show existence of a solution with a step-like contrast structure, but also construct an asymptotic expansion of the solution. In addition, remainder estimation of the approximate solution is also given. Finally, an example is used to verify the correctness of the above theory.",

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N2 - In this paper, an asymptotic method for nonlinear singular singularly perturbed boundary value problems with discontinuous right-hand side is investigated. We not only show existence of a solution with a step-like contrast structure, but also construct an asymptotic expansion of the solution. In addition, remainder estimation of the approximate solution is also given. Finally, an example is used to verify the correctness of the above theory.

AB - In this paper, an asymptotic method for nonlinear singular singularly perturbed boundary value problems with discontinuous right-hand side is investigated. We not only show existence of a solution with a step-like contrast structure, but also construct an asymptotic expansion of the solution. In addition, remainder estimation of the approximate solution is also given. Finally, an example is used to verify the correctness of the above theory.

KW - Asymptotic method

KW - discontinuous right-hand side

KW - singularly perturbed equations

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NONLINEAR SINGULAR SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS WITH DISCONTINUOUS RIGHT-HAND SIDE

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