Boundedness of solutions for a class of second-order periodic systems

DOI10.1155/2013/267572zbMath1298.34065OpenAlexW2017883770WikidataQ58915737 ScholiaQ58915737MaRDI QIDQ2015286

Shunjun Jiang, Yan Ding

Publication date: 23 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/267572

zbMATH Keywords

quasi-periodic solutionssmall twist theorem

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Dynamical aspects of twist maps (37E40)

Cites Work

• Boundedness of solutions for equations with \(p\)-Laplacian and an asymmetric nonlinear term
• On the boundedness of solutions to a nonlinear singular oscillator
• Quasi-periodic solutions of forced isochronous oscillators at resonance
• Boundedness for sublinear Duffing equations with time-dependent potentials
• Quasiperiodic motions in superquadratic time-periodic potentials
• Aubry-Mather sets for finite-twist maps of a cylinder and semilinear Duffing equations
• Existence of quasiperiodic solutions and Littlewood’s boundedness problem of Duffing equations with subquadratic potentials
• Boundedness in a Piecewise Linear Oscillator and a Variant of the Small Twist Theorem
• Lagrangian stability of a class of second-order periodic systems
• Boundedness of solutions for Duffing's equations with semilinear potentials

This page was built for publication: Boundedness of solutions for a class of second-order periodic systems