On the solvability of implicit differential inclusions

In the paper, the set-valued covering mappings are studied. The statements on solvability, solution estimates, and well-posedness of inclusions with conditionally covering mappings are proved. The results obtained are applied to the investigation of differential inclusions unsolved for the unknown function. The statements on solvability, solution estimates, and well-posedness of these inclusions are derived. © 2014, © 2014 Taylor & Francis.

Авторы
Arutyunov A. 1 , De Oliveira V.A. , Lobo Pereira F. , Zhukovskiy E. 4 , Zhukovskiy S. 3
Журнал
Applicable Analysis
Номер выпуска
1
Язык
Английский
Страницы
129-143
Статус
Опубликовано
Ссылка
Внешняя ссылка
DOI
10.1080/00036811.2014.891732
Том
94
Год
2015
Организации
  • 1 Department of Nonlinear Analysis and Optimization, Peoples’ Friendship University of Russia, ul. Miklukho-Maklaya 6, Moscow, 117198, Russian Federation
  • 2 Departamento de Matematica Aplicada, Instituto de Biociencias, Letras e Ciencias Exatas, UNESP - Univ. Estadual Paulista, Campus de Sao Jose do Rio Preto, São Paulo, Brazil
  • 3 Department of Electrical and Computer Engineering, Institute for Systems and Robotics, Universidade do Porto, Rua Dr. Roberto Frias, s/n 4200-465, Porto, Portugal
  • 4 Department of Algebra and Geometry, Tambov State University, ul. Internatsilonalnaya 33, Tambov, 392000, Russian Federation
Ключевые слова
conditionally covering mapping; implicit differential inclusion; Lipschitz perturbation
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/4785/
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