On a class of quasilinear differential equations: the Neumann problem

Kourogenis, N; Papageorgiou, N

dc.contributor.author	Kourogenis, N	en
dc.contributor.author	Papageorgiou, N	en
dc.date.accessioned	2014-03-01T01:46:51Z
dc.date.available	2014-03-01T01:46:51Z
dc.date.issued	1998	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/25065
dc.relation.uri	http://www.intlpress.com/MAA/p/1998/5_3/MAA-5-3-273-282.pdf	en
dc.subject	Compact Operator	en
dc.subject	Differential Equation	en
dc.subject	Maximal Monotone Operator	en
dc.subject	Monotone Operator	en
dc.subject	Neumann Boundary Condition	en
dc.subject	Neumann Problem	en
dc.subject	Ordinary Differential Equation	en
dc.subject	sobolev space	en
dc.title	On a class of quasilinear differential equations: the Neumann problem	en
heal.type	journalArticle	en
heal.publicationDate	1998	en
heal.abstract	In this paper, we consider a quasilinear ordinary differential equation with Neumann boundary conditions. Our formulation is general and incorporates the case of the one-dimensional Laplacian. Using an abstract result on the range of the sum of certain monotone operators, we prove the existence of a solution. Our approach is based on the theory of monotone operators and does not	en