Online veröffentlicht: 25. Jan. 2019
Seitenbereich: 195 - 212
Eingereicht: 26. Okt. 2017
DOI: https://doi.org/10.2478/tmmp-2018-0016
Schlüsselwörter
© 2018 Alexander V. Vasilyev et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
We consider some discrete pseudo-differential equations in discrete Sobolev–Slobodetskii spaces. For a discrete half-space and certain values of an index of periodic factorization for an elliptic symbol we introduce additional potential-like unknowns and prove existence and uniqueness theorem in appropriate discrete Sobolev–Slobodetskii spaces.