Linear nonautonomous systems of differential equations with a quadratic integral

DOI10.1134/S0012266121020063zbMath1466.34020OpenAlexW3139447895MaRDI QIDQ2659259

Yanyan Li

Publication date: 26 March 2021

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266121020063

zbMATH Keywords

linear nonautonomous systemsquadratic integral

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Nonautonomous smooth dynamical systems (37C60)

Cites Work

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• Linear systems with a quadratic integral
• Linear Hamiltonian systems: quadratic integrals, singular subspaces and stability
• Inertia theorems for matrices, controllability, and linear vibrations
• On the Hamiltonian property of linear dynamical systems in Hilbert space
• On the stability degree
• Oscillation and wandering characteristics of solutions of a linear differential system
• Quadratic conservation laws for equations of mathematical physics

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