izvuzmathИзвестия высших учебных заведений. МатематикаIzvestiya Vysshikh Uchebnykh Zavedenii. Matematika0021-34462076-4626Казанский (Приволжский) федеральный университет10.26907/0021-3446-2025-10-50-63izvuzmath-228Research ArticleСтатьиКлассические неотрицательные решения одномерного уравнения ВласоваClassical non-negative solutions for one-dimensional Vlasov equationБукаруА.BoukarouA.

Ансса Букару

г. Баб-Эззуар, 16000

Aissa Boukarou

Bab Ezzouar, 16000

boukarouaissa@gmail.comГеоргиевС. Г.GeorgievS. G.

Светлин Г. Георгиев

г. Париж, 75005

Svetlin G. Georgiev

Paris, 75005

svetlingeorgievl@gmail.comБухалиК.BouhaliK.

Келтум Бухали

г. Бурайда, 51452

Keltoum Bouhali

Buraydah, 51452

k.bouhali@qu.edu.saЗеннирХ.ZennirKh.

Халед Зеннир

г. Бурайда, 51452

Khaled Zennir

Buraydah, 51452

k.zennir@qu.edu.saУниверситет науки и технологий имени Хуари БумедьенаАлжирUniversity of Science and Technology Houari BoumedieneAlgeriaУниверситет СорбоннаФранцияSorbonne UniversityFranceУниверситет КасимаСаудовская АравияQassim UniversitySaudi Arabia2025251020250105063Copyright © Букару А., Георгиев С.Г., Бухали К., Зеннир Х., 20252025Букару А., Георгиев С.Г., Бухали К., Зеннир Х.Boukarou A., Georgiev S.G., Bouhali K., Zennir K.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://izvuzmath.elpub.ru/jour/article/view/228

Для получения классических неотрицательных решений уравнения Власова пред­лагается новый подход, основанный на использовании неподвижной точки и определенных топологических свойств. Данный подход позволяет найти как минимум одно решение, а так­же как минимум два различных решения. Показано, как данный метод применяется к задаче нахождения классических неотрицательных решений уравнения Власова.

New fixed point approach based on certain topological properties is applied on the Vlasov equation to find classical non-negative solutions. This approach allows finding at least one solution and at least two solutions. It is shown how to apply this approach to the problem of finding classical non-negative solutions of the Vlasov equation.

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