On the solvability of implicit differential inclusions |
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| Authors: | Aram Arutyunov Valeriano Antunes de Oliveira Fernando Lobo Pereira Evgeniy Zhukovskiy |
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| Institution: | 1. Department of Nonlinear Analysis and Optimization, Peoples’ Friendship University of Russia, ul. Miklukho-Maklaya 6, Moscow 117198, Russia.;2. Departamento de Matematica Aplicada, Instituto de Biociencias, Letras e Ciencias Exatas, UNESP - Univ. Estadual Paulista, Campus de Sao Jose do Rio Preto, S?o 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, Russia. |
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| Abstract: | 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. |
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| Keywords: | conditionally covering mapping Lipschitz perturbation implicit differential inclusion |
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