matmessМатематические заметки СВФУMathematical notes of NEFU2411-93262587-876XСеверо-Восточный федеральный университет имени М.К. Аммосоваmatmess-436Research ArticleМАТЕМАТИКАРЕЗУРГЕНТНЫЕ ФУНКЦИИ И СИНГУЛЯРНЫЕ ОДУResurgence functions and ODEЭкальЖ. Р.EcalleJ.

Jean Ecalle (Жан Робертович Экаль)

CNRS & Paris 11 Univ., Orsay, France, Baˆt. 425, 91405 Orsay Cedex, France

Jean Ecalle

CNRS & Paris 11 Univ., Orsay, France, Baˆt. 425, 91405 Orsay Cedex, France

jean.ecalle@math.u-psud.frCNRS & Paris 11 Univ.ФранцияCNRS & Paris 11 Univ.France2015080720262235769Copyright © Экаль Ж.Р., 20262026Экаль Ж.Р.Ecalle J.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://matmess.elpub.ru/jour/article/view/436

Предлагается краткое введение в теорию резургентности и приводится несколько применений к изучению сингулярных ОДУ.

We present here a short introduction to resurgence theory with select applications to local analytic ODEs.

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The authors declare that there are no conflicts of interest present.