Boundedness and global asymptotic stability of a forced oscillator

DOI10.1016/0362-546X(94)00140-DzbMath0826.34043MaRDI QIDQ4842557

Rafael Ortega, Jose Miguel-Alonso

Publication date: 15 August 1995

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

zbMATH Keywords

bounded solutionglobally asymptotically stableforced oscillatorlinear time-varying comparison system

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Growth and boundedness of solutions to ordinary differential equations (34C11)

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Cites Work

• Unnamed Item
• Global asymptotic stability for nonlinear systems of differential equations and applications to reactor dynamics
• Stability theory and the existence of periodic solutions and almost periodic solutions
• On the Existence of Stable Periodic Solutions of Differential Equations of Duffing Type
• The First Interval of Stability of a Periodic Equation of Duffing Type
• Existence, Uniqueness, and Stability of Oscillations in Differential Equations with Asymmetric Nonlinearities
• A Nonstandard Resonance Problem for Ordinary Differential Equations
• Boundedness Theorems for Non-Linear Differential Equations of the Second Order (II)

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