Existence of Solutions in a Closed Set for Delay Differential Equations in Banach Spaces

dc.contributor.author	Moauro, V.	en
dc.contributor.author	Leela, S.	en
dc.date.accessioned	2010-06-10T00:30:00Z	en
dc.date.available	2010-06-10T00:30:00Z	en
dc.date.issued	1977-01	en
dc.identifier.uri	http://hdl.handle.net/10106/2480	en
dc.description.abstract	Please note that the full text is embargoed ABSTRACT: The study of the Cauchy problem for ordinary differential equations in a Banach space has been extensive [1,3-7,9-12]. The two main directions that are followed in such a study are (i) finding monotonicity type conditions which guarantee the existence as well as uniqueness of solutions and (ii) finding compactness type conditions which assure only the existence of solutions [3,4]. It is also known [10,12] that in order to prove the existence of solutions in a closed subset F of the Banach space, a boundary condition of the type [see pdf for notation] is required.	en
dc.language.iso	en_US	en
dc.publisher	University of Texas at Arlington	en
dc.relation.ispartofseries	Technical Report;50	en
dc.subject	Banach spaces	en
dc.subject	Delay differential equations	en
dc.subject	Existence of solutions	en
dc.subject	Measure of noncompactness	en
dc.subject	Boundary condition	en
dc.subject.lcsh	Mathematics Research	en
dc.title	Existence of Solutions in a Closed Set for Delay Differential Equations in Banach Spaces	en
dc.type	Technical Report	en
dc.publisher.department	Department of Mathematics	en