Volume 2, 2019
Difference & Differential Equations and Applications
|Number of page(s)||7|
|Section||Mathematics - Applied Mathematics|
|Published online||29 May 2019|
To the theory of discrete boundary value problems
Chair of Differential Equations, Belgorod State National Research University, ul. Pobedy, 85, Belgorod 308015, Russia
* Corresponding author: email@example.com
Accepted: 5 April 2019
We consider discrete analogues of pseudo-differential operators and related discrete equations and boundary value problems. Existence and uniqueness results for special elliptic discrete boundary value problem and comparison for discrete and continuous solutions are given for certain smooth data in discrete Sobolev–Slobodetskii spaces.
Mathematics Subject Classification: Primary: 35S15 / Secondary: 65T50
Key words: Digital pseudo-differential operator / Discrete boundary value problem / Periodic factorization / Discrete solution / Error estimate
© O.A. Tarasova & V.B. Vasilyev, Published by EDP Sciences, 2019
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