Stability of the periodic solutions of quasilinear autonomous systems with several degrees of freedom

DOI10.1016/0021-8928(70)90012-2zbMath0212.56901OpenAlexW1636358455MaRDI QIDQ5614503

A. P. Proskuryakov

Publication date: 1970

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(70)90012-2

Mathematics Subject Classification ID

Stability for problems in linear vibration theory (70J25) Linear vibration theory (70J99)

Cites Work

• On the quasiharmonic systems, close to systems with constant coefficients, in which pure imaginary roots of the fundamental equation have nonsimple elementary divisors
• Finding the characteristic exponents of systems of linear differential equations with periodic coefficients
• On the construction of periodic solutions of quasi-linear autonomous systems with several degrees of freedom
• Construction of periodic solutions of quasilinear autonomous systems with several degrees of freedom for particular cases
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