Controllability result in α-norm for some impulsive partial functional integrodifferential equation with infinite delay in Banach spaces

• Autorzy: Mbainadji Djendode

Identyfikatory

DOI

10.1515/jaa-2023-0076

• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to study the controllability in the α-norm for some impulsive partial functional integrodifferential equation with infinite delay in Banach space. To do this, we give sufficient conditions ensuring the controllability by assuming that the undelayed part admits a resolvent operator in the sense of Grimmer and that the delayed part is continuous with respect to the fractional power of the generator. The results are obtained by using the Schauder fixed-point theorem.

Słowa kluczowe

EN

controllability; impulsive functional-differential equation; analytic semigroup; infinite delay; Resolvent operator; Schauder's fixed point theorem

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2024
• Tom: Vol. 30, nr 2
• Strony: 223--237
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Mbainadji Djendode

• Department of Mathematics and Informatics, Polytechnic University of Mongo, Mongo, Chad

• https://orcid.org/0000-0002-8494-0248

Bibliografia

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