Geodesic
Methods for studying differential-difference equations with incommensurable shifts of arguments
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings – XXXI". Voronezh, May 3-9, 2020, Tome 204 (2022), pp. 44-52

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We consider elliptic boundary-value problems for differential-difference equations containing incommensurable shifts of arguments in leading terms. Using the reduction of the original problem to a certain nonlocal problem, we examine the solvability of boundary-value problems, the smoothness of solutions, and spectral properties.
Keywords: elliptic differential-difference equation, incommensurable shifts of arguments, nonlocal boundary-value problem. 
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     title = {Methods for studying differential-difference equations with incommensurable shifts of arguments},
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E. P. Ivanova. Methods for studying differential-difference equations with incommensurable shifts of arguments. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings – XXXI". Voronezh, May 3-9, 2020, Tome 204 (2022), pp. 44-52. http://geodesic.mathdoc.fr/item/INTO_2022_204_a4/