Existence and controllability of integrodifferential equations with non-instantaneous impulses in Fréchet spaces

Autor:	Abdelhamid Bensalem, Abdelkrim Salim, Bashir Ahmad, Mouffak Benchohra
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	integrodifferential equation mild solution measures of noncompactness resolvent operator controllability fixed point theorem fréchet space Mathematics QA1-939
Zdroj:	Cubo, Vol 25, Iss 2, Pp 231-250 (2023)
Druh dokumentu:	article
ISSN:	0719-0646 0716-7776
DOI:	10.56754/0719-0646.2502.231
Popis:	In this paper, we investigate existence of mild solutions to a non-instantaneous integrodifferential equation via resolvent operators in the sense of Grimmer in Fréchet spaces. Utilizing the technique of measures of noncompactness in conjunction with the Darbo's fixed point theorem, we present sufficient criteria ensuring the controllability of the given problem. An illustrative example is also discussed.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/f199182a1fa145c68f6f41d1c8866025 Zobrazit plný text záznamu View record in DOAJ