On the solvability of implicit differential inclusions
Aram Vladimirovich Arutyunov, Valeriano Antunes de Oliveira, Фернандо Лобо Перейра, Evgeny Semenovich Zhukovskiy, Sergey Evgenyevich Zhukovskiy · Applicable Analysis · 2014
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.