Title

Nontrivial solutions for superquadratic nonautonomous periodic systems

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.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.12775/tmna.2009.045

Keywords

superquadratic potential, AR-condition, spectral resolution, local linking, C-condition, periodic solution

Publication Date

2009

Journal Title

Topological Methods in Nonlinear Analysis

Share

COinS