On the solvability of implicit differential inclusions

Arutyunov, Aram; Oliveira, Valeriano Antunes de [UNESP]; Lobo Pereira, Fernando; Zhukovskiy, Evgeniy; Zhukovskiy, Sergey

Artigo

Registro en:

Applicable Analysis, v. 94, n. 1, p. 129-143, 2014.

0003-6811

http://hdl.handle.net/11449/122701

10.1080/00036811.2014.891732

9527284964541341

https://repositorioslatinoamericanos.uchile.cl/handle/2250/8772150

Autor

Arutyunov, Aram

Oliveira, Valeriano Antunes de [UNESP]

Lobo Pereira, Fernando

Zhukovskiy, Evgeniy

Zhukovskiy, Sergey

Institución

Universidade Paulista Júlio de Mesquita Filho (Brasil)

Resumen

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.

Universidade Estadual Paulista Júlio de Mesquita Filho, Instituto de Biociências, Letras e Ciências Exatas, Sao Jose do Rio Preto, Rua Cristovão Colombo 2265, Jardim Nazareth, CEP 15054-000, SP, Brasil

Materias

conditionally covering mapping

Lipschitz perturbation

implicit differential inclusion

47J22

34A60

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