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Periodic solutions of second order Hamiltonian systems and Morse theory. (English) Zbl 0652.34053
Recent advances in Hamiltonian systems, Proc. Int. Conf., L’Aquila/Italy 1986, 155-161 (1987).
[For the entire collection see Zbl 0637.00003.]
The existence of T-periodic solutions for the following systems of ordinary differential equations: $$-\ddot x=\nabla_ xV(t,x),$$ where $$V\in C^ 2(R\times R^ n;R)$$, $$V(t+T,x)=V(t,x)$$ for every $$(t,x)\in R\times R^ n$$ is considered.
Reviewer: V.Kozobrod

##### MSC:
 34C25 Periodic solutions to ordinary differential equations 37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
##### Keywords:
second order differential equation