Half-plane differential-difference elliptic problems with general-kind nonlocal potentials

In the half-plane, the Dirichlet problem is considered for elliptic differential-difference equations with nonlocal general-kind potentials, which are linear combinations of translations of the desired function, not bounded by commensurability conditions. We find a condition for the symbol of the corresponding differential-difference operator, providing the classical solvability of the specified problem for each continuous and bounded boundary-value function. The representation of the specified classical solution by a Poisson-type integral is constructed. © 2020 Informa UK Limited, trading as Taylor & Francis Group.

Authors
Language
English
Status
Published
Year
2020
Organizations
  • 1 JSC Concern “Sozvezdie”, Voronezh, Russian Federation
  • 2 Nikol'skii Mathematical Institute of Peoples' Friendship University of Russia (RUDN University), Moscow, Russian Federation
Keywords
35J25; 35R10; Differential-difference equations; elliptic problems; incommensurable translations; nonlocal potentials; V. Volpert
Date of creation
20.04.2021
Date of change
20.04.2021
Short link
https://repository.rudn.ru/en/records/article/record/72774/
Share

Other records