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dc.contributor.authorSutherland, Patricken
dc.contributor.authorLakshmikantham, V.en
dc.date.accessioned2010-05-26T18:30:11Zen
dc.date.available2010-05-26T18:30:11Zen
dc.date.issued1975-09en
dc.identifier.urihttp://hdl.handle.net/10106/2183en
dc.description.abstract**Please note that the full text is embargoed** ABSTRACT: Recent interest in the Cauchy problem for differential equations in a Banach space [9] has stimulated a similar interest for differential equations of a retarded type in a Banach space. The difficulty in imposing assumptions due to a different range and domain space has been overcome in [4] where existence of solutions is established using a monotoni- city type condition in terms of norm and weaker forms of differential inequalities. The theory of existence of solutions of differential equations has been used in [1,2,5,6,7] to obtain existence of zeros and fixed points for nonlinear operators from E into E. In this paper we consider the existence of zeros of operators which map into E but whose domain is the space of continuous functions on some real interval into E. Since such operators generate differential equations of retarded type, we call such operators retarded type. We employ generalized inner product [1,6] and adapt the methods analogous to [1,2,7]. Our results generalize those of [4]. Furthermore, we obtain for the first time, existence of zeros of operators of retarded type.en
dc.language.isoen_USen
dc.publisherUniversity of Texas at Arlingtonen
dc.relation.ispartofseriesTechnical Report;30en
dc.subjectRetarded typeen
dc.subjectNonlinear operatorsen
dc.subjectDifferential equationsen
dc.subjectDifferential inequalitiesen
dc.subjectBanach spacesen
dc.subject.lcshMathematics Researchen
dc.titleOn the Zeros of Monotone Operators of Retarded Type in a Banach Spaceen
dc.typeTechnical Reporten
dc.publisher.departmentDepartment of Mathematicsen


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