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.

Authors
Arutyunov A. 1 , De Oliveira V.A. , Lobo Pereira F. , Zhukovskiy E. 4 , Zhukovskiy S. 3
Journal
Applicable Analysis
Number of issue
1
Language
English
Pages
129-143
Status
Published
Link
External link
DOI
10.1080/00036811.2014.891732
Volume
94
Year
2015
Organizations
  • 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
Keywords
conditionally covering mapping; implicit differential inclusion; Lipschitz perturbation
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/4785/
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