Relation between ultimate boundedness and radially unbounded Liapunov function

DOI10.1016/0362-546X(86)90052-0zbMath0612.34049OpenAlexW2064761238MaRDI QIDQ3752727

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Publication date: 1986

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(86)90052-0

zbMATH Keywords

Lyapunov functionsequiboundednessultimately boundedness

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)

Related Items (1)

Perturbing liapunov functions and ultimate boundedness in terms of two measures

Cites Work

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• Global existence without uniqueness
• On Liapounoff's conditions of stability
• Note on the boundedness and the ultimate boundedness of solutions of $x'=F(t, x)$
• On the ultimate boundedness of solutions of ordinary differential equations
• A Remark on a Stability Theorem of M. Marachkoff

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