Impulsive Evolution Equations with Causal Operators

Autor: Tahira Jabeen, Ravi P. Agarwal, Vasile Lupulescu, Donal O’Regan
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Symmetry, Vol 12, Iss 1, p 48 (2019)
Druh dokumentu: article
ISSN: 2073-8994
DOI: 10.3390/sym12010048
Popis: In this paper, we establish sufficient conditions for the existence of mild solutions for certain impulsive evolution differential equations with causal operators in separable Banach spaces. We rely on the existence of mild solutions for the strongly continuous semigroups theory, the measure of noncompactness and the Schauder fixed point theorem. We consider the impulsive integro-differential evolutions equation and impulsive reaction diffusion equations (which could include symmetric kernels) as applications to illustrate our main results.
Databáze: Directory of Open Access Journals
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