Geodesic
Elliptic Problems with Nonlocal Potential Arising in Models of Nonlinear Optics
Matematičeskie zametki, Tome 105 (2019) no. 5, pp. 747-762.

Voir la notice de l'article provenant de la source Math-Net.Ru

The Dirichlet problem in the half-plane for strong elliptic differential-difference equations with nonlocal potentials is considered. The classical solvability of this problem is proved, and the integral representation of this classical solution by a Poisson-type relation is constructed.
Keywords: differential-difference equations, elliptic problems, nonlocal potential. 
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A. B. Muravnik. Elliptic Problems with Nonlocal Potential Arising in Models of Nonlinear Optics. Matematičeskie zametki, Tome 105 (2019) no. 5, pp. 747-762. http://geodesic.mathdoc.fr/item/MZM_2019_105_5_a8/

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