A CLASS OF SINGULARLY PERTURBED EQUATIONS WITH DISCONTINUOUS RIGHT-HAND SIDE IN THE CRITICAL CASE
- 作者: Liu S.1, Ni M.1,2
- 
							隶属关系: 
							- School of Mathematical Sciences, East China Normal University
- Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice
 
- 期: 卷 63, 编号 2 (2023)
- 页面: 262
- 栏目: Ordinary differential equations
- URL: https://cardiosomatics.ru/0044-4669/article/view/664891
- DOI: https://doi.org/10.31857/S0044466923020126
- EDN: https://elibrary.ru/BNGACK
- ID: 664891
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详细
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.
作者简介
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
							编辑信件的主要联系方式.
							Email: xiaovikdo@163.com
				                					                																			                												                								200241, Shanghai, China;  200003, Shanghai, China						
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