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Avtomatika i Telemekhanika, 2006, Issue 9, Pages 15–22 (Mi at1231)  
Deterministic Systems

Stability of the solutions of systems of second-order differential equations

I. V. Boykov

Penza State University
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Abstract: Criteria for stability of the solutions of systems of linear and nonlinear ordinary second-order differential equations were proposed relying on the studies of the spectra and logarithmic norms of the families of specially constructed matrices. Obtained were the stability criteria for systems of linear second-order differential equations expressed in terms of the coefficients at unknown functions and their first derivatives.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 23.08.2005
English version:
Automation and Remote Control, 2006, Volume 67, Issue 9, Pages 1366–1372
DOI: https://doi.org/10.1134/S0005117906090025
Bibliographic databases:
Document Type: Article
PACS: 02.30. Yy
Language: Russian
Citation: I. V. Boykov, “Stability of the solutions of systems of second-order differential equations”, Avtomat. i Telemekh., 2006, no. 9, 15–22; Autom. Remote Control, 67:9 (2006), 1366–1372
Citation in format AMSBIB
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\paper Stability of the solutions of systems of second-order differential equations
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\jour Autom. Remote Control
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\issue 9
\pages 1366--1372
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