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Infinitely many periodic solutions for nonautonomous sublinear second-order Hamiltonian systems - MaRDI portal

Infinitely many periodic solutions for nonautonomous sublinear second-order Hamiltonian systems (Q1957589)

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scientific article; zbMATH DE number 5791632
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Infinitely many periodic solutions for nonautonomous sublinear second-order Hamiltonian systems
scientific article; zbMATH DE number 5791632

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    Infinitely many periodic solutions for nonautonomous sublinear second-order Hamiltonian systems (English)
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    27 September 2010
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    The authors obtain two sequences of distinct periodic solutions for second-order Hamiltonian systems with sublinear nonlinearity. They use the minimax methods. One sequence of solutions is ``local minimum points of the functional'', and the other is ``minimax type critical points of the functional''.
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    second-order Hamiltonian system
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    periodic solution
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    sublinear nonlinearity
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    minimax method
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