Страница публикации

Об аналитических периодических решениях нелинейных дифференциальных уравнений с запаздыванием (опережением)

Тип публикации: Статья в журнале

Тип материала: Текст

Авторы: Косов А.А., Семенов Э.И.

Журнал: Известия высших учебных заведений. Математика

Язык публикации: russian

Том: 10

Номера страниц: 34-42

Количество страниц: 9

Год публикации: 2018

Отчетный год: 2018

Переводная версия: {"id":2878,"authors":"Kosov A.A., Semenov E.I.","authors_count":2,"title":"On Analytic Periodic Solutions to Nonlinear Differential Equations with Delay","journal":"Russian Mathematics","year":2018,"reportYear":2018,"volume":"62","number":"10","month":null,"url":"","pages":"30-36","address":"","type":"\u0422\u0435\u043a\u0441\u0442","publisher":"","edition":"","language":"english","classification":"\u0421\u0442\u0430\u0442\u044c\u0438 \u0432 \u0437\u0430\u0440\u0443\u0431\u0435\u0436\u043d\u044b\u0445 \u0438 \u043f\u0435\u0440\u0435\u0432\u043e\u0434\u043d\u044b\u0445 \u0436\u0443\u0440\u043d\u0430\u043b\u0430\u0445","annotation":"We study a system of the reaction\u2013diffusion type, where diffusion coefficients depend in an arbitrary way on spatial variables and concentrations, while reactions are expressed as homogeneous functions whose coefficients depend in a special way on spatial variables. We prove that the system has a family of exact solutions that are expressed through solutions to a system of ordinary differential equations (ODE) with homogeneous functions in right-hand sides. For a special case of theODE systemwe construct a general solution represented by Jacobi higher transcendental functions. We also prove that these periodic solutions are analytic functions that can be expressed near each point on the period by convergent power series.","published_at":null,"doi":"10.3103\/S1066369X18100043","is_to_print":0,"is_special":0,"is_wos":1,"is_scopus":1,"is_risc":0,"is_editable":0,"publication_type_id":1,"added_by_rb_user_id":null,"notes":"","created_at":"2018-10-09 05:31:02","updated_at":"2019-02-04 04:01:59","translated_id":null,"quartile":"Q5","series":"","is_vak":0,"conference":null,"is_public_pdf":0,"eid":null,"wosid":null,"quartile_scopus":null,"report_type":null,"speaker":0,"is_wl":0,"quartile_wl":null,"count_pages":7,"date_event_start":null,"date_event_end":null,"location_event":null,"lvl_event":null,"link_event":null,"title_event":null,"is_affiliation_idstu":null,"is_expert_opinion":null,"quartile_vak":null,"id_author_reference":null,"is_cr":null,"quartile_cr":null,"registration_number":null}

Индексируется WOS: Нет

Индексируется Scopus: Нет

Индексируется УБС: Нет

Индексируется РИНЦ: Да

Индексируется ВАК: Нет

Индексируется CORE: Нет