Multiple periodic solutions for damped vibration systems with superquadratic terms at infinity

Abstract

Abstract By using variational methods, we obtain infinitely many nontrivial periodic solutions for a class of damped vibration systems with superquadratic terms at infinity. By using some weaker conditions, our results extend and improve some existing results in the literature. Besides, some examples are given to illustrate our results.

Keywords

• Damped vibration systems
• Periodic solutions
• Superquadratic