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dc.contributor.authorLakshmikantham, V.en
dc.contributor.authorDu, Sen-Woen
dc.date.accessioned2010-06-09T15:12:20Zen
dc.date.available2010-06-09T15:12:20Zen
dc.date.issued1981-02en
dc.identifier.urihttp://hdl.handle.net/10106/2427en
dc.description.abstract**Please note that the full text is embargoed** ABSTRACT: Let E be a real Banach space with norm [see pdf for notation]. Consider the initial value problem (1.1) [see pdf for notation], where [see pdf for notation]. Generally speaking of approximate solutions of (1.1) consist of three steps, namely, (i) constructing a sequence of approximate solutions of some kinds for (1.1); (ii) showing the convergence of the constructed sequence; (iii) proving that the limit function is a solution. If f is continous, steps (i) and (iii) are standard and straight forward. It is a step (ii) that deserves attention. This in turn leads to three possibilities; namely to show that the sequence of approximate solutions is (a) a Cauchy sequence; (b) relatively compact so that one can appeal to Ascoli's theorem; and (c) a monotone sequence in a cone. The first two possibilities are well known and are discussed in [2,3]. This paper is devoted to the investigation of (c) which leads to the development of a monotone interative technique in an arbitrary cone.en
dc.language.isoen_USen
dc.publisherUniversity of Texas at Arlingtonen
dc.relation.ispartofseriesTechnical Report;150en
dc.subjectMonotone iterative techniqueen
dc.subjectAbstract conesen
dc.subjectBanach spacesen
dc.subjectBoundary value problemsen
dc.subjectDifferential equationsen
dc.subject.lcshMathematics Researchen
dc.titleMonotone Iterative Technique for Differential Equations in a Banach Spaceen
dc.typeTechnical Reporten
dc.publisher.departmentDepartment of Mathematicsen


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