Geodesic
Boundary-value problems for differential-difference equations with incommeasurable shifts of arguments reducible to nonlocal problems
Contemporary Mathematics. Fundamental Directions, Proceedings of the S.M. Nikolskii Mathematical Institute of RUDN University, Tome 65 (2019) no. 4, pp. 613-622.

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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. 
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E. P. Ivanova. Boundary-value problems for differential-difference equations with incommeasurable shifts of arguments reducible to nonlocal problems. Contemporary Mathematics. Fundamental Directions, Proceedings of the S.M. Nikolskii Mathematical Institute of RUDN University, Tome 65 (2019) no. 4, pp. 613-622. http://geodesic.mathdoc.fr/item/CMFD_2019_65_4_a4/

[1] A. L. Skubachevskii, “Boundary-value problems for elliptic differential-difference equations and their applications”, Progr. Math. Sci., 32:2 (2016), 261–278 (in Russian)

[2] E. P. Ivanova, “On coercivity of differential-difference equations with incommensurable translations of arguments”, J. Math. Sci. (N.Y.), 239:6 (2019), 802–816 | DOI | MR | Zbl

[3] E. P. Ivanova, “On smooth solutions of differential-Difference equations with incommensurable shifts of arguments”, Math. Notes, 105:1 (2019), 140–144 | DOI | MR | Zbl

[4] A. L. Skubachevskii, Elliptic functional differential equations and aplications, Birkhauser, Basel—Boston—Berlin, 1997 | MR