On Generalized Solutions of the Second Boundary-Value Problem for Differential-Difference Equations with Variable Coefficients | Zendy

А. Л. Скубачевский | Zendy; Н. О. Иванов | Zendy

Open Access

On Generalized Solutions of the Second Boundary-Value Problem for Differential-Difference Equations with Variable Coefficients

Author(s) -

А. Л. Скубачевский,

Н. О. Иванов

Publication year - 2021

Publication title -

contemporary mathematics fundamental directions

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).

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