Email this article APPLICATION OF THE ESTIMATION OF SOLUTIONS OF PERTURBED INCLUSION TO DIFFERENTIAL INCLUSIONS
- Authors: Grigorenko A.A.1, Filippova O.V.1,2
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Affiliations:
- Tambov State University named after G.R. Derzhavin
- RUDN University
- Issue: Vol 22, No 3 (2017)
- Pages: 517-522
- Section: Articles
- URL: https://journal-vniispk.ru/2686-9667/article/view/362838
- DOI: https://doi.org/10.20310/1810-0198-2017-22-3-517-522
- ID: 362838
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Abstract
In the article, the statement about the estimation of closeness of solutions for perturbed inclusion to a given continuous function is obtained. The application of this statement to differential inclusions is considered.
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About the authors
Anna Alexandrovna Grigorenko
Tambov State University named after G.R. Derzhavin
Email: g.anya@mail.ru
Candidate of Physics and Mathematics, Associate Professor of the Functional Analysis Department Tambov, the Russian Federation
Olga Viktorovna Filippova
Tambov State University named after G.R. Derzhavin; RUDN University
Email: philippova.olga@rambler.ru
Candidate of Physics and Mathematics, Associate Professor of the Functional Analysis Department; Candidate of Physics and Mathematics, Associate Professor of the Department of Nonlinear Analysis and Optimization Tambov, the Russian Federation; Moscow, the Russian Federation
References
Булгаков А.И., Ткач Л.И. Возмущение выпуклозначного оператора многозначным отображением типа Гаммерштейна с невыпуклыми образами и краевые задачи для функционально-дифференциальных включений // Математический сборник. 1998. Т. 189. № 6. С. 3-32. Иоффе А.Д., Тихомиров В.М. Теория экстремальных задач. М.: Наука, 1974. 480 с. Филиппов А.Ф. Классические решения дифференциальных уравнений с многозначной правой частью // Вестник МГУ. Серия: Математика и механика. 1967. № 3. C. 16-26.
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