Periodic and boundary value problems for second order differential equations

Papageorgiou, NS; Papalini, F

dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Papalini, F	en
dc.date.accessioned	2014-03-01T01:16:56Z
dc.date.available	2014-03-01T01:16:56Z
dc.date.issued	2001	en
dc.identifier.issn	02534142	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14276
dc.subject	Arzela-Ascoli theorem	en
dc.subject	Caratheodory function	en
dc.subject	Compact embedding	en
dc.subject	Dunford-Pettis theorem	en
dc.subject	Extremal solution	en
dc.subject	Lower solution	en
dc.subject	Order interval	en
dc.subject	Penalty function	en
dc.subject	Periodic problem	en
dc.subject	Sobolev space	en
dc.subject	Sturm-Liouville boundary conditions	en
dc.subject	Truncation map	en
dc.subject	Upper solution	en
dc.title	Periodic and boundary value problems for second order differential equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02829543	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02829543	en
heal.publicationDate	2001	en
heal.abstract	In this paper we study second order scalar differential equations with Sturm-Liouville and periodic boundary conditions. The vector field f(t, x, y) is Caratheodory and in some instances the continuity condition on x or y is replaced by a monotonicity type hypothesis. Using the method of upper and lower solutions as well as truncation and penalization techniques, we show the existence of solutions and extremal solutions in the order interval determined by the upper and lower solutions. Also we establish some properties of the solutions and of the set they form.	en
heal.journalName	Proceedings of the Indian Academy of Sciences: Mathematical Sciences	en
dc.identifier.doi	10.1007/BF02829543	en
dc.identifier.volume	111	en
dc.identifier.issue	1	en
dc.identifier.spage	107	en
dc.identifier.epage	125	en