Investigation of partial asymptotic stability and instability based on the limiting equations

DOI10.1016/0021-8928(87)90064-5zbMath0653.70022OpenAlexW2054863287MaRDI QIDQ1108091

A. S. Andreev

Publication date: 1987

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(87)90064-5

zbMATH Keywords

asymptotic stabilitylimiting equationsSufficient conditionsaction of dissipative forcesinstability of unperturbed motionzero position of equilibrium

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Nonholonomic systems related to the dynamics of a system of particles (70F25) Holonomic systems related to the dynamics of a system of particles (70F20) Stability theory for smooth dynamical systems (37C75)

Related Items (1)

Lyapunov function method for systems of difference equations: stability with respect to part of the variables

Cites Work

• On partial asymptotic stability by the method of limiting equation
• 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
• Sulla stabilità asintotica parziale
• On asymptotic stability and instability of motion with respect to a part of the variables
• On stability of motion of nonholonomic systems
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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