NONTRIVIAL SOLUTIONS FOR SUPERQUADRATIC NONAUTONOMOUS PERIODIC SYSTEMS

作者：Hu Shouchuan^*; Papageorgiou Nikolas S

来源：Topological Methods in Nonlinear Analysis, 2009, 34(2): 327-338.

DOI：10.12775/tmna.2009.045

• Superquadratic potential
• AR-condition
• spectral resolution
• local linking
• C-condition
• periodic solution

We consider a nonautonomous second order periodic system with an indefinite linear part. We assume that the potential function is superquadratic, but it may not satisfy the Ambrosetti-Rabinowitz condition. Using an existence result for C(1)-functionals having a local linking at the origin, we show that the system has at least one nontrivial solution.

• 出版日期2009-12
• 单位山东师范大学