Multiple periodic solutions for second order Josephson-type differential systems

Abstract

Abstract In this paper, some new existence theorems are obtained for multiple periodic solutions of second order Josephson-type differential systems with partially periodic potential by using the minimax methods in critical point theory, which generalize and improve some known results in the literature.

Keywords

• periodic solution
• critical point
• second order Josephson-type differential systems
• periodicity
• minimax methods
• the generalized saddle point theorem