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Publication:2711945
zbMath0987.34028MaRDI QIDQ2711945
Publication date: 30 June 2002
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existencenonlinear oscillatorsboundednessresonancebounded nonlinear perturbationsperiodically forced resonant linear or asymmetric oscillators
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Growth and boundedness of solutions to ordinary differential equations (34C11)
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Invariant tori and unboundedness for second order differential equations with asymmetric nonlinearities depending on the derivatives ⋮ Invariant tori and boundedness in asymmetric oscillations. ⋮ Periodic solutions of some resonant Hamiltonian systems ⋮ Boundedness in forced isochronous oscillators ⋮ Limit cycles bifurcating from a \(k\)-dimensional isochronous center contained in \(\mathbb R^n\) with \(k\leqslant n\) ⋮ Periodic solutions of perturbed isochronous Hamiltonian systems at resonance ⋮ A Landesman-Lazer type theorem for periodic solutions of the resonant asymmetric \(p\)-Laplacian equation
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