A CLASS OF SINGULARLY PERTURBED EQUATIONS WITH DISCONTINUOUS RIGHT-HAND SIDE IN THE CRITICAL CASE
- Авторлар: Liu S.1, Ni M.1,2
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Мекемелер:
- School of Mathematical Sciences, East China Normal University
- Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice
- Шығарылым: Том 63, № 2 (2023)
- Беттер: 262
- Бөлім: Ordinary differential equations
- URL: https://rjonco.com/0044-4669/article/view/664891
- DOI: https://doi.org/10.31857/S0044466923020126
- EDN: https://elibrary.ru/BNGACK
- ID: 664891
Дәйексөз келтіру
Аннотация
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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Авторлар туралы
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
Хат алмасуға жауапты Автор.
Email: xiaovikdo@163.com
200241, Shanghai, China; 200003, Shanghai, China
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