Two nontrivial solutions for periodic systems with indefinite linear part

Motreanu, D; Motreanu, VV; Papageorgiou, NS

dc.contributor.author	Motreanu, D	en
dc.contributor.author	Motreanu, VV	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:27:31Z
dc.date.available	2014-03-01T01:27:31Z
dc.date.issued	2007	en
dc.identifier.issn	1078-0947	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18486
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-34748883681&partnerID=40&md5=7ba937934fabdb0a13d777df9409b488	en
dc.subject	Local linking	en
dc.subject	Multiple solutions	en
dc.subject	Nonsmooth reduction method	en
dc.subject	PS-condition	en
dc.subject	Second order periodic system	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	HAMILTONIAN-SYSTEMS	en
dc.subject.other	2ND-ORDER SYSTEMS	en
dc.subject.other	CRITICAL-POINTS	en
dc.title	Two nontrivial solutions for periodic systems with indefinite linear part	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	We consider second order periodic systems with a nonsmooth potential and an indefinite linear part. We impose conditions under which the nonsmooth Euler functional is unbounded. Then using a nonsmooth variant of the reduction method and the nonsmooth local linking theorem, we establish the existence of at least two nontrivial solutions.	en
heal.publisher	AMER INST MATHEMATICAL SCIENCES	en
heal.journalName	Discrete and Continuous Dynamical Systems	en
dc.identifier.isi	ISI:000247197200009	en
dc.identifier.volume	19	en
dc.identifier.issue	1	en
dc.identifier.spage	197	en
dc.identifier.epage	210	en