Correctness conditions for high-order differential equations with unbounded coefficients

dc.contributor.author	Ospanov, Kordan N.
dc.date.accessioned	2024-12-17T06:19:27Z
dc.date.available	2024-12-17T06:19:27Z
dc.date.issued	2021
dc.identifier.issn	16872762
dc.identifier.other	doi.org/10.1186/s13661-021-01526-5
dc.identifier.uri	http://rep.enu.kz/handle/enu/20246
dc.description.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. MSC: Primary 34B40; secondary 47E05	ru
dc.language.iso	en	ru
dc.publisher	Boundary Value Problems	ru
dc.relation.ispartofseries	Том 2021, Выпуск 1;
dc.subject	Higher-order differential equation	ru
dc.subject	Unbounded coefficients	ru
dc.subject	Unique solvability	ru
dc.subject	Estimate of the norm of a solution	ru
dc.subject	Compactness of the resolvent	ru
dc.title	Correctness conditions for high-order differential equations with unbounded coefficients	ru
dc.type	Article	ru