A Class of Singularly Perturbed Equations with Discontinuous Right-Hand Side in the Critical Case

Shitao Liu; Mingkang Ni

doi:10.1134/S0965542523020112

A Class of Singularly Perturbed Equations with Discontinuous Right-Hand Side in the Critical Case

Shitao Liu
, Mingkang Ni^*

^*Corresponding author for this work

School of Mathematical Sciences

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

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

1 Scopus citations

Abstract

Abstract: In this paper, we investigate a class of singularly perturbed equations with discontinuous right-hand side in the critical case. An asymptotic expansion of a contrast structure solution for the system is contrasted. Moreover, results for existence of the solution and estimations of remainders are presented. Finally, an example is provided to verify the theoretical results.

Original language	English
Pages (from-to)	218-230
Number of pages	13
Journal	Computational Mathematics and Mathematical Physics
Volume	63
Issue number	2
DOIs	https://doi.org/10.1134/S0965542523020112
State	Published - Feb 2023

Keywords

critical case
discontinuous right-hand side
singularly perturbed equations

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10.1134/S0965542523020112

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title = "A Class of Singularly Perturbed Equations with Discontinuous Right-Hand Side in the Critical Case",

abstract = "Abstract: In this paper, we investigate a class of singularly perturbed equations with discontinuous right-hand side in the critical case. An asymptotic expansion of a contrast structure solution for the system is contrasted. Moreover, results for existence of the solution and estimations of remainders are presented. Finally, an example is provided to verify the theoretical results.",

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author = "Shitao Liu and Mingkang Ni",

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AU - Liu, Shitao

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N2 - Abstract: In this paper, we investigate a class of singularly perturbed equations with discontinuous right-hand side in the critical case. An asymptotic expansion of a contrast structure solution for the system is contrasted. Moreover, results for existence of the solution and estimations of remainders are presented. Finally, an example is provided to verify the theoretical results.

AB - Abstract: In this paper, we investigate a class of singularly perturbed equations with discontinuous right-hand side in the critical case. An asymptotic expansion of a contrast structure solution for the system is contrasted. Moreover, results for existence of the solution and estimations of remainders are presented. Finally, an example is provided to verify the theoretical results.

KW - critical case

KW - discontinuous right-hand side

KW - singularly perturbed equations

UR - https://www.scopus.com/pages/publications/85153099363

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DO - 10.1134/S0965542523020112

M3 - 文章

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SN - 0965-5425

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JO - Computational Mathematics and Mathematical Physics

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IS - 2

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A Class of Singularly Perturbed Equations with Discontinuous Right-Hand Side in the Critical Case

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Keywords

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