Open AccessOn Generalized Solutions of the Second Boundary-Value Problem for Differential-Difference Equations with Variable Coefficients
Author(s) -
А. Л. Скубачевский,
А. Л. Скубачевский,
Н. О. Иванов,
Н. О. Иванов
Publication year - 2021
Publication title -
sovremennaâ matematika. fundamentalʹnye napravleniâ
Language(s) - English
Resource type - Journals
eISSN - 2949-0618
pISSN - 2413-3639
DOI - 10.22363/2413-3639-2021-67-3-576-595
Subject(s) - mathematics , variable (mathematics) , boundary value problem , smoothness , mathematical analysis , interval (graph theory) , differential equation , value (mathematics) , statistics , combinatorics
We consider the second boundary-value problem for a second-order differential-difference equation with variable coefficients on the interval (0,d). We investigate the existence of a generalized solution and obtain conditions on the right-hand side of the equation which ensure the smoothness of generalized solutions on the entire interval (0,d).