| Issue |
Math. Model. Nat. Phenom.
Volume 12, Number 6, 2017
Special Issue - Nonlocal and delay equations
|
|
|---|---|---|
| Page(s) | 130 - 143 | |
| DOI | https://doi.org/10.1051/mmnp/2017074 | |
| Published online | 30 December 2017 | |
On the half-plane Dirichlet problem for differential-difference elliptic equations with several nonlocal terms
1
JSC Concern “Sozvezdie”,
Voronezh, Russia
2
RUDN University,
Moscow, Russia
* e-mail: amuravnik@yandex.ru
Received:
30
October
2017
Accepted:
13
November
2017
The following Dirichlet problem is investigated:
where the coefficients ak and hk, 
, are real parameters (no commensurability of the translations is assumed), while the boundary-value function u0 is continuous and bounded. Such problems arise in various applications such as the multi-layer plates and envelopes theory, the diffusion processes theory (including biomathematical applications), models of nonlinear optics, etc.
Mathematics Subject Classification: 35R10 / 35J25
Key words: Differential-difference equations / elliptic problems / non-commensurable translations
© EDP Sciences, 2017
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