Bounded solutions of second-order systems of differential equations

DOI10.1016/S0022-247X(03)00196-3zbMath1029.34025OpenAlexW2157746635MaRDI QIDQ1399361

Stanisław Sȩdziwy

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00196-3

zbMATH Keywords

bounded solutionsecond-order differential equations in \(\mathbb{R}^n\)Yakubovich lemma

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11)

Cites Work

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• Existence of bounded solutions to a second-order system with dissipation
• Global asymptotic stability of a forced Newtonian system with dissipation
• Existence and uniqueness of periodic solutions for \((2n+1)\)th-order differential equations
• Boundedness and global asymptotic stability of a forced oscillator
• Un problème de vibrations non linéaires