Boundedness for solutions of nonlinear periodic differential equations via Moser's twist theorem
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Publication:4018368
DOI10.1007/BF02595021zbMath0756.34050OpenAlexW12342873MaRDI QIDQ4018368
Publication date: 16 January 1993
Published in: Acta Mathematica Sinica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02595021
Periodic solutions to ordinary differential equations (34C25) Growth and boundedness of solutions to ordinary differential equations (34C11) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)
Related Items (24)
Boundedness of solutions for non-linear quasi-periodic differential equations with Liouvillean frequency ⋮ Boundedness of solutions of a quasi-periodic sublinear Duffing equation ⋮ Quasiperiodic solutions of Duffing’s equations ⋮ Boundedness of solutions for polynomial potentials with \(C^2\) time dependent coefficients ⋮ Oscillatory escape in a Duffing equation with a polynomial potential ⋮ The existence of quasiperiodic solutions for coupled Duffing-type equations ⋮ Quasiperiodic solutions for nonlinear differential equations of second order with symmetry ⋮ Rareness of escaping orbits of the quasi-periodic Duffing equations with polynomial potentials ⋮ A KAM theorem with large twist and finite smooth large perturbation ⋮ The KAM theorem with a large perturbation and application to the network of Duffing oscillators ⋮ Boundedness of solutions in a class of Duffing equations with oscillating potentials ⋮ Unboundedness in a Duffing equation with polynomial potentials ⋮ Lagrange stability for Duffing-type equations ⋮ Lagrange stability for impulsive Duffing equations ⋮ The coexistence of quasi-periodic and blow-up solutions in a class of Hamiltonian systems ⋮ Boundedness of solutions for Duffing equation with low regularity in time ⋮ The coexistence of quasi-periodic and blow-up solutions in a superlinear Duffing equation ⋮ Applications of the Moser's twist theorem to some impulsive differential equations ⋮ Boundedness of solutions of nonlinear differential equations ⋮ Invariant tori of Duffing-type equations ⋮ Bounding solutions of a forced oscillator ⋮ Lagrangian stability of a nonlinear quasi-periodic system ⋮ Longtime closeness estimates for bounded and unbounded solutions of non-recurrent Duffing equations with polynomial potentials ⋮ Boundedness of solutions for Duffing-type equation
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