On the asymptotic stability and instability of the zero solution of a non-autonomous system with respect to part of the variables

DOI10.1016/0021-8928(84)90052-2zbMath0584.70020OpenAlexW2092200788MaRDI QIDQ1069716

A. S. Andreev

Publication date: 1985

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(84)90052-2

zbMATH Keywords

existenceasymptotic stabilitylibration pointsdissipative forcesSufficient conditionsequilibrium of a heavy solid with a fixed pointhomogeneous gravitational field of variable intensityinstability of the zero solutionlimited circular three-body problemLyapunov function with derivatives of constant signnon-autonomous holonomic mechanical systemorbital planesymmetric satellite

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Free motion of a rigid body (70E15) Orbital mechanics (70M20)

Cites Work

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• On asymptotic stability and instability relative to a part of variables
• Topological dynamics of an ordinary differential equation
• The method of Ljapunov functions in the stability problem for motion with respect to a part of the variables
• On asymptotic stability and instability of motion with respect to a part of the variables

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