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Periodic solutions of non-autonomous second order systems - MaRDI portal

Periodic solutions of non-autonomous second order systems (Q1922938)

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scientific article; zbMATH DE number 930202
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Periodic solutions of non-autonomous second order systems
scientific article; zbMATH DE number 930202

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    Periodic solutions of non-autonomous second order systems (English)
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    17 March 1997
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    The author considers the boundary value problem of the second order system \(\ddot u(t)=\nabla F(t,u(t))\), \(u(0)-u(\tau)=\dot u(0)-\dot u(\tau)=0\). He obtains an existence theorem of periodic solutions of the system with classical theorems of variational calculus.
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    boundary value problem
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    second order system
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    periodic solutions
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