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dc.contributor.authorBernfeld, Stephen R.en
dc.date.accessioned2010-06-01T18:22:37Zen
dc.date.available2010-06-01T18:22:37Zen
dc.date.issued1976en
dc.identifier.urihttp://hdl.handle.net/10106/2191en
dc.description.abstract**Please note that the full text is embargoed** ABSTRACT: In a recent paper [1] the author obtained results on the extendability of solutions of perturbed differential equations. The question of the extendability of solutions of differential equations is a fundamental and important property since questions of stability and boundedness require extendability. In this paper we continue our study of extendability of perturbed scalar differential equations. Our somewhat surprising results also extend to the question of uniqueness of the zero solution of perturbed equations satisfying an Osgood condition [4] (See also [2] for recent results on the uniqueness of perturbed systems.) Examples are provided to demonstrate the strength of our results. The interested reader may look in [3], [4], [5] for other results on extendability.en
dc.language.isoen_USen
dc.publisherUniversity of Texas at Arlingtonen
dc.relation.ispartofseriesTechnical Report;36en
dc.subjectPerturbed differential equationsen
dc.subjectExtendability of solutionsen
dc.subjectPerturbed systemsen
dc.subject.lcshMathematics Researchen
dc.titleThe Extendability and Uniqueness of Solutions of Ordinary Differential Equationsen
dc.typeTechnical Reporten
dc.publisher.departmentDepartment of Mathematicsen


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