Geodesic
Strongly elliptic differential-difference equations with mixed boundary conditions in a cylindric domain
Contemporary Mathematics. Fundamental Directions, Proceedings of the S.M. Nikolskii Mathematical Institute of RUDN University, Tome 65 (2019) no. 4, pp. 635-654

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We consider strongly elliptic differential-difference equations with mixed boundary conditions in a cylindrical domain. We establish the connection between such problems and nonlocal mixed problems for strongly elliptic differential equations, and prove the uniqueness of solutions. 
@article{CMFD_2019_65_4_a6,
     author = {V. V. Liiko and A. L. Skubachevskii},
     title = {Strongly elliptic differential-difference equations with mixed boundary conditions in a cylindric domain},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {635--654},
     publisher = {mathdoc},
     volume = {65},
     number = {4},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2019_65_4_a6/}
}
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V. V. Liiko; A. L. Skubachevskii. Strongly elliptic differential-difference equations with mixed boundary conditions in a cylindric domain. Contemporary Mathematics. Fundamental Directions, Proceedings of the S.M. Nikolskii Mathematical Institute of RUDN University, Tome 65 (2019) no. 4, pp. 635-654. http://geodesic.mathdoc.fr/item/CMFD_2019_65_4_a6/