On the Dirichlet Problem for Differential-Difference Elliptic Equations in a Half-Plane

The Dirichlet problem is considered in a half-plane (with continuous and bounded boundaryvalue function) for the model elliptic differential-difference equationuxx+ auxx(x+ hy) + uyy= 0 , ∣ a∣ < 1. Its solvability is proved in the sense of generalized functions, the integral representation of the solution is constructed, and it is proved that everywhere but the boundary hyperplane this solution satisfies the equation in the classic sense as well. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

Авторы
Издательство
Springer New York LLC
Номер выпуска
4
Язык
Английский
Страницы
473-483
Статус
Опубликовано
Том
235
Год
2018
Организации
  • 1 JSC Concern “Sozvezdie”, Voronezh, Russian Federation
  • 2 RUDN University, Moscow, Russian Federation
Дата создания
04.02.2019
Дата изменения
04.02.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/36199/
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