Stability of Solutions of Second-Order Differential-Operator Equations and of Their Difference Approximations

被引：0

作者：

Lemeshevsky, S. V. ^{[1
]}

Matus, P. P. ^{[1
,2
]}

机构：

[1] Natl Acad Sci Belarus, Inst Math, Minsk 220072, BELARUS

[2] John Paul Catholic Univ Lublin, PL-20950 Lublin, Poland

来源：

DIFFERENTIAL EQUATIONS | 2020年 / 56卷 / 07期

关键词：

D O I：

10.1134/S0012266120070113

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For the solutions of a nonlinear second-order differential-operator equation and the corresponding three-level operator-difference scheme, we establish sufficient boundedness conditions as well as sufficient conditions for the stability with respect to perturbations of the operators. These results are applied to studying the coefficient stability of a mixed problem for a hyperbolic equation with damping and a three-level difference scheme approximating this problem.

引用

页码：923 / 934

页数：12

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