Boundedness of solutions for non-linear quasi-periodic differential equations with Liouvillean frequency

DOI10.1016/J.JDE.2016.03.038zbMath1343.34083OpenAlexW2315379503MaRDI QIDQ281653

Jiangong You, Jing Wang

Publication date: 11 May 2016

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

Full work available at URL: https://doi.org/10.1016/j.jde.2016.03.038

Mathematics Subject Classification ID

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

Related Items (13)

Persistence of invariant tori in integrable Hamiltonian systems under almost periodic perturbations ⋮ Response solutions to harmonic oscillators beyond multi-dimensional Brjuno frequency ⋮ Bounded non-response solutions with Liouvillean forced frequencies for nonlinear wave equations ⋮ Whiskered tori for forced beam equations with multi-dimensional Liouvillean frequency ⋮ Rareness of escaping orbits of the quasi-periodic Duffing equations with polynomial potentials ⋮ Response solutions for KdV equations with Liouvillean frequency ⋮ Quasi-periodically forced and reversible vibrations of beam equations with Liouvillean frequencies ⋮ Boundedness of semilinear Duffing equations with Liouvillean frequency ⋮ Boundedness of solutions of quasi-periodic \(p\)-Laplacian equations with jumping nonlinearity ⋮ Boundedness of solutions for semilinear Duffing equations ⋮ Growth of Sobolev norms in time dependent semiclassical anharmonic oscillators ⋮ Quasi-periodic response solutions in forced reversible systems with Liouvillean frequencies ⋮ Stoker's Problem for Quasi-periodically Forced Reversible Systems with Multidimensional Liouvillean Frequency

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