Elliptic Problems with Nonlocal Potential Arising in Models of Nonlinear Optics

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. © 2019, Pleiades Publishing, Ltd.

Authors
Muravnik A.B. 1, 2
Journal
Mathematical Notes
Number of issue
5-6
Language
English
Pages
734-746
Status
Published
Link
External link
DOI
10.1134/S0001434619050109
Volume
105
Year
2019
Organizations
  • 1 JSC Concern “Sozvezdie”, Voronezh, 394018, Russian Federation
  • 2 RUDN University, Moscow, 117198, Russian Federation
Keywords
differential-difference equations; elliptic problems; nonlocal potential
Date of creation
19.07.2019
Date of change
28.11.2023
Short link
https://repository.rudn.ru/en/records/article/record/38488/
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