Open AccessSeparability of the third-order differential operator given on the whole plane
Author(s) -
A.O. Suleimbekova
Publication year - 2022
Publication title -
ķaraġandy universitetìnìn̦ habaršysy. matematika seriâsy
Language(s) - English
Resource type - Journals
eISSN - 2663-5011
pISSN - 2518-7929
DOI - 10.31489/2022m1/109-117
Subject(s) - mathematics , operator (biology) , differential operator , bounded function , infinity , order (exchange) , third order , mathematical analysis , differential (mechanical device) , plane (geometry) , space (punctuation) , semi elliptic operator , bounded operator , pure mathematics , computer science , physics , geometry , biochemistry , chemistry , philosophy , theology , finance , repressor , transcription factor , economics , gene , operating system , thermodynamics
In this paper, in the space L_2(R^2), we study a third-order differential operator with continuous coefficients in R(−∞, +∞). Here, these coefficients can be unlimited functions at infinity. In addition under some restrictions on the coefficients, the bounded invertibility of the given operator is proved and a coercive estimate is obtained, i.e. separability is proved.