Infinitely many periodic solutions for second order Hamiltonian systems

2011/06/02 by Qingye Zhang, Zhang, Qingye, Chungen Liu +2
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics #math.DS

paper · pdf · doi:10.48550/arxiv.1106.0360

to appear in JDE(doi:10.1016/j.jde.2011.05.021)

arxiv created 2011/06/02 · openalex publication_date 2011/06/02 · arxiv updated 2011/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the existence of infinitely many periodic solutions for second order Hamiltonian systems u+∇_u V(t,u)=0, where V(t, u) is either asymptotically quadratic or superquadratic as |u|→ ∞.

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