## Periodic solutions for a class of nonautonomous second-order systems.(English)Zbl 1050.34062

The existence of periodic solutions of the nonautonomous second-order system $$\ddot{u}=\nabla F(t,u(t))$$, $$t\in [0,T]$$, subject to the periodicity conditions $$u(0)-u(T)=\dot{u}(0)-\dot{u}(T)=0$$, is investigated. Proofs use the least action principle.

### MSC:

 34C25 Periodic solutions to ordinary differential equations
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### References:

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