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^*

^*Corresponding author for this work

School of Mathematical Sciences

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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	845-859
Number of pages	15
Journal	Journal of Applied Analysis and Computation
Volume	13
Issue number	2
DOIs	https://doi.org/10.11948/20220169
State	Published - Apr 2023

Keywords

Asymptotic method
discontinuous right-hand side
singularly perturbed equations

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10.11948/20220169

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title = "NONLINEAR SINGULAR SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS WITH DISCONTINUOUS RIGHT-HAND SIDE",

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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author = "Shitao Liu and Mingkang Ni",

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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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M3 - 文章

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ER -

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

Abstract

Keywords

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