Email this article Elliptic Problems with Nonlocal Potential Arising in Models of Nonlinear Optics
- Authors: Muravnik A.B.1,2
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Affiliations:
- JSC Concern “Sozvezdie”
- RUDN University
- Issue: Vol 105, No 5-6 (2019)
- Pages: 734-746
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151743
- DOI: https://doi.org/10.1134/S0001434619050109
- ID: 151743
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Abstract
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.
About the authors
A. B. Muravnik
JSC Concern “Sozvezdie”; RUDN University
Author for correspondence.
Email: amuravnik@yandex.ru
Russian Federation, Voronezh, 394018; Moscow, 117198
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