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arxiv: 1106.0360 · v1 · pith:AVZHKTZUnew · submitted 2011-06-02 · 🧮 math.DS

Infinitely many periodic solutions for second order Hamiltonian systems

classification 🧮 math.DS
keywords hamiltonianinfinitelymanyorderperiodicsecondsolutionssystems
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In this paper, we study the existence of infinitely many periodic solutions for second order Hamiltonian systems $\ddot{u}+\nabla_u V(t,u)=0$, where $V(t, u)$ is either asymptotically quadratic or superquadratic as $|u|\to \infty$.

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