Global Solvability of Time-Varying Semilinear Differential-Algebraic Equations, Boundedness and Stability of Their Solutions. II

被引：0

作者：

Filipkovskaya, M. S. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, B Verkin Inst Low Temp Phys & Engn, UA-61103 Kharkiv, Ukraine

来源：

DIFFERENTIAL EQUATIONS | 2021年 / 57卷 / 02期

关键词：

D O I：

10.1134/S0012266121020099

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove theorems on the Lyapunov stability, asymptotic stability, and instability of the equilibrium position of time-varying semilinear differential-algebraic equations (DAEs) as well as theorems about the asymptotic (complete) stability of these equations. As an example of applying the theorems on the global solvability of time-varying semilinear DAEs proved in the first part of this paper, we study a mathematical model of some electrical circuit.

引用

页码：196 / 209

页数：14

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