Open AccessON LOCAL TWO-POINT PROBLEM FOR THE EQUATION WITH THE OPERATOR OF GENERALIZED DIFFERENTIATION
Author(s) -
M. P. Negrych,
М. М. Symotyuk
Publication year - 2021
Publication title -
prikarpatsʹkij vìsnik ntš. čislo
Language(s) - English
Resource type - Journals
ISSN - 2304-7399
DOI - 10.31471/2304-7399-2020-1(59)-38-43
Subject(s) - mathematics , argument (complex analysis) , lebesgue measure , operator (biology) , point (geometry) , measure (data warehouse) , lebesgue integration , interpolation (computer graphics) , mathematical analysis , pure mathematics , computer science , physics , geometry , classical mechanics , motion (physics) , biochemistry , chemistry , repressor , database , transcription factor , gene
A local two-point problem with the oprator of Gelfond-Leontiev generalized differentiation with a complex argument is investigated. The conditions of unity and existence of the solution of the problem are obtained. It is proved that such conditions are satisfied for almost all (relative to Lebesgue measure) node of interpolation.