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.

引用

页数：16

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