Multiple solutions for strongly resonant periodic systems

Papageorgiou, NS; Staicu, V

dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Staicu, V	en
dc.date.accessioned	2014-03-01T01:26:43Z
dc.date.available	2014-03-01T01:26:43Z
dc.date.issued	2007	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18194
dc.subject	C-condition	en
dc.subject	PS-condition	en
dc.subject	Second deformation theorem	en
dc.subject	Weak coercivity	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Differential equations	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Function evaluation	en
dc.subject.other	Nonlinear systems	en
dc.subject.other	Resonance	en
dc.subject.other	Theorem proving	en
dc.subject.other	C-condition	en
dc.subject.other	PS-condition	en
dc.subject.other	Second deformation theorem	en
dc.subject.other	Weak coercivity	en
dc.subject.other	Problem solving	en
dc.title	Multiple solutions for strongly resonant periodic systems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.na.2006.08.015	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2006.08.015	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	We considered a semilinear, second order periodic system. We assumed that the differential operator x → - x″ - A x has zero as an eigenvalue and has no negative eigenvalues. Also we imposed a strong resonance condition (with respect to the zero eigenvalue) on the potential function F (t, x). Using the second deformation theorem, we established the existence of at least two nontrivial solutions. To do this we needed to conduct a detailed analysis of the Cerami compactness condition, which is actually of independent interest. © 2006 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Nonlinear Analysis, Theory, Methods and Applications	en
dc.identifier.doi	10.1016/j.na.2006.08.015	en
dc.identifier.isi	ISI:000247404600021	en
dc.identifier.volume	67	en
dc.identifier.issue	6	en
dc.identifier.spage	1895	en
dc.identifier.epage	1907	en