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dc.contributor.authorLakshmikantham, V.en
dc.contributor.authorAftabizadeh, A. R.en
dc.date.accessioned2010-06-11T17:24:02Zen
dc.date.available2010-06-11T17:24:02Zen
dc.date.issued1981-02en
dc.identifier.urihttp://hdl.handle.net/10106/2483en
dc.description.abstract**Please note that the full text is embargoed** ABSTRACT: It is well known [2] that the comparison principle for initial value problems of ordinary differential equations is a very useful tool in the study of qualitative and quantitative theory. Recently, attempts have been made to study the corresponding comparison principle for terminal value problems (TVP for short), [1,3,4]. Since the theory related to TVP's is much more complicated than that of initial value problems, the development of the theory corresponding to these problems has met with difficulties. For example, one of the difficulties arises because the existence of a solution of the TVP [see pdf for notation] need not imply that the TVP [see pdf for notation] has a solution. In this paper, we shall first discuss the theory of terminal differential inequalities, existence of extremal solutions of TVP's and the corresponding comparison principle. Our approach is parallel to that of initial value problems and the appropriate modifications incorporated appear as a natural setting for this theory. We shall also discuss existence of solutions of TVP in a sector extending the method of upper and lower solutions and develop monotone iterative techniques to obtain multiple solutions of TVP in a sector.en
dc.language.isoen_USen
dc.publisherUniversity of Texas at Arlingtonen
dc.relation.ispartofseriesTechnical Report;152en
dc.subjectInitial value problemsen
dc.subjectComparison principleen
dc.subjectTerminal value problemsen
dc.subjectTerminal differential inequalitiesen
dc.subject.lcshMathematics Researchen
dc.titleOn the Theory of Terminal Value Problems for Ordinary Differential Equationsen
dc.typeTechnical Reporten
dc.publisher.departmentDepartment of Mathematicsen


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