Abstract
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.
Citation
Shouchuan Hu. Nikolaos S. Papageorgiou. "Nontrivial solutions for superquadratic nonautonomous periodic systems." Topol. Methods Nonlinear Anal. 34 (2) 327 - 338, 2009.
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