Open AccessBoundary-Value Problems for Differential-Difference Equations with Incommeasurable Shifts of Arguments Reducible to Nonlocal Problems
Author(s) -
Elena P. Ivanova,
Elena P. Ivanova
Publication year - 2019
Publication title -
sovremennaâ matematika. fundamentalʹnye napravleniâ
Language(s) - English
Resource type - Journals
eISSN - 2949-0618
pISSN - 2413-3639
DOI - 10.22363/2413-3639-2019-65-4-613-622
Subject(s) - boundary value problem , mathematics , mathematical analysis , differential equation , order (exchange) , boundary (topology) , value (mathematics) , free boundary problem , mixed boundary condition , differential (mechanical device) , set (abstract data type) , physics , computer science , statistics , finance , programming language , economics , thermodynamics
We consider boundary-value problems for differential-difference equations containing incommeasurable shifts of arguments in higher-order terms. We prove that in the case of finite orbits of boundary points generated by the set of shifts of the difference operator, the original problem is reduced to the boundary-value problem for differential equation with nonlocal boundary conditions.