Correctness conditions for high-order differential equations with unbounded coefficients

Autor: Kordan N. Ospanov
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Boundary Value Problems, Vol 2021, Iss 1, Pp 1-12 (2021)
Druh dokumentu: article
ISSN: 1687-2770
DOI: 10.1186/s13661-021-01526-5
Popis: Abstract We give some sufficient conditions for the existence and uniqueness of the solution of a higher-order linear differential equation with unbounded coefficients in the Hilbert space. We obtain some estimates for the weighted norms of the solution and its derivatives. Using these estimates, we show the conditions for the compactness of some integral operators associated with the resolvent.
Databáze: Directory of Open Access Journals