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The Extendability and Uniqueness of Solutions of Ordinary Differential Equations

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The Extendability and Uniqueness of Solutions of Ordinary Differential Equations

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dc.contributor.author Bernfeld, Stephen R. en
dc.date.accessioned 2010-06-01T18:22:37Z en
dc.date.available 2010-06-01T18:22:37Z en
dc.date.issued 1976 en
dc.identifier.uri http://hdl.handle.net/10106/2191 en
dc.description.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.iso en_US en
dc.publisher University of Texas at Arlington en
dc.relation.ispartofseries Technical Report;36 en
dc.subject Perturbed differential equations en
dc.subject Extendability of solutions en
dc.subject Perturbed systems en
dc.subject.lcsh Mathematics Research en
dc.title The Extendability and Uniqueness of Solutions of Ordinary Differential Equations en
dc.type Technical Report en
dc.publisher.department Department of Mathematics en

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