On the periodic solutions of Hamiltonian systems of second-order. (English) Zbl 0618.58024
The aim of this paper is to present some sufficient conditions for the existence of solutions to Hamiltonian system of second order \(\ddot x+\nabla_ xG(t,x)=p(t)\) with the boundary condition \(x(0)-x(2\pi)=\dot x(0)-\dot x(2\pi)=0.\)
Reviewer: P.Drábek
MSC:
| 37J99 | Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems |
| 34C25 | Periodic solutions to ordinary differential equations |
| 34B15 | Nonlinear boundary value problems for ordinary differential equations |
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