Infinitely many nontrivial periodic solutions for damped vibration problems with asymptotically linear terms

摘要

In this paper, we study a class of damped vibration problem with asymptotically quadratic terms at infinity. We obtain infinitely many nontrivial periodic solutions by variational method. To the best of our knowledge, there is no published result focusing on this class of damped vibration problem with asymptotically quadratic terms at infinity.