On a general discrete boundary value problem for an elliptic pseudo-differential equation in a quadrant

被引：0
|
作者：
Vasilyev, Vladimir [1 ]
Vasilyev, Alexander [1 ]
Mashinets, Anastasia [1 ]
机构：
[1] Belgorod State Natl Res Univ, Chair Appl Math & Comp Modeling, Pobedy St 85, Belgorod 308015, Russia
来源：
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2023年 / 29卷 / 02期
关键词：
Elliptic symbol; Invertibility; Digital pseudo-differential operator; Discrete equation; Periodic wave factorization; System of integral equation;
D O I：
10.1007/s40590-023-00527-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study a general discrete boundary value problem in Sobolev-Slobodetskii spaces in a plane quadrant and reduce it to a system of integral equations. We show a solvability of the system for a small size of discreteness starting from a solvability of its continuous analogue.
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页数：16
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