Nonautonomous resonant periodic systems with indefinite linear part and a nonsmooth potential

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Title

Nonautonomous resonant periodic systems with indefinite linear part and a nonsmooth potential (EN)

Creator

Motreanu, VV (EN)

Motreanu, D (EN)

Papageorgiou, NS (EN)

Type

journalArticle (EN)

Partial document
Publication in journal (EN)

Article
Scientific article (EN)

Issued

2014-03-01T01:36:27Z

2011 (EN)

Year

2011 (EN)

Description

A nonautonomous second order system with a nonsmooth poten-tial is studied. It is assumed that the system is asymptotically linear at infinity and resonant (both at infinity and at the origin), with respect to the zero ei- genvalue. Also, it is assumed that the linearization of the system is indefinite. Using a nonsmooth variant of the reduction method and the local linking the- orem, we show that the system has at least two nontrivial solutions. (EN)

Scientific field

Mathematics (EN)

Mathematics, Applied (EN)

Natural Sciences ▶ Mathematics
Applied Mathematics (EN)

Subject

Resonant system (EN)

Coercive functional (EN)

Reduction method (EN)

Local linking (EN)

NONTRIVIAL SOLUTIONS (EN)

EQUATIONS (EN)

C-condition (EN)