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Variational approach to quasi-periodic solution of nonautonomous second-order Hamiltonian systems - MaRDI portal

Variational approach to quasi-periodic solution of nonautonomous second-order Hamiltonian systems (Q410156)

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scientific article; zbMATH DE number 6020961
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Variational approach to quasi-periodic solution of nonautonomous second-order Hamiltonian systems
scientific article; zbMATH DE number 6020961

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    Variational approach to quasi-periodic solution of nonautonomous second-order Hamiltonian systems (English)
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    3 April 2012
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    Summary: We deal with quasi-periodic solutions of the second-order Hamiltonian system \[ \ddot{x}(t) = \nabla F(t, x(t)), \] where \(x(t) = (x_1(t), \dots, x_N(t))\), and we present a new approach via variational and minmax methods to obtain the existence of quasi-periodic solutions to the above equation.
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