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A CLASS OF SINGULARLY PERTURBED EQUATIONS WITH DISCONTINUOUS RIGHT-HAND SIDE IN THE CRITICAL CASE
- Authors: Liu S.1, Ni M.1,2
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Affiliations:
- School of Mathematical Sciences, East China Normal University
- Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice
- Issue: Vol 63, No 2 (2023)
- Pages: 262
- Section: Ordinary differential equations
- URL: https://clinpractice.ru/0044-4669/article/view/664891
- DOI: https://doi.org/10.31857/S0044466923020126
- EDN: https://elibrary.ru/BNGACK
- ID: 664891
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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.
About the authors
Shitao Liu
School of Mathematical Sciences, East China Normal University
Email: xiaovikdo@163.com
200241, Shanghai, China
Mingkang Ni
School of Mathematical Sciences, East China Normal University; Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice
Author for correspondence.
Email: xiaovikdo@163.com
200241, Shanghai, China; 200003, Shanghai, China
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