6533b855fe1ef96bd12b003a

RESEARCH PRODUCT

Infinitely many periodic solutions for a second-order nonautonomous system

Francesca FaraciRoberto Livrea

subject

Multiplicity resultsSecond-order nonautonomous systemApplied MathematicsMathematical analysisSecond order equationVariational methodAnalysiCritical point (mathematics)Non-autonomous systemCritical pointVariational principleApplied mathematicsInfinitely many solutionAnalysisMathematics

description

The existence of infinitely many solutions for a second-order nonautonoumous system was investigated. Some multiplicity results for problem (P) under very different assumptions on the potential G were established. It was shown that infinitely many solutions follow from a variational principle by B. Ricceri.

10.1016/s0362-546x(03)00099-3http://hdl.handle.net/10447/247819