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Generalized Uniqueness Theorem for Ordinary Differential Equations in Banach Spaces
Journal article   Open access  Peer reviewed

Generalized Uniqueness Theorem for Ordinary Differential Equations in Banach Spaces

Ezzat R. Hassan, M. Sh Alhuthali and M. M. Al-Ghanmi
TheScientificWorld, Vol.2014, pp.272479-4
01/01/2014
DOI: https://doi.org/10.1155/2014/272479
PMCID: PMC3934605
PMID: 24683325

Abstract

We consider nonlinear ordinary differential equations in Banach spaces. Uniqueness criterion for the Cauchy problem is given when any of the standard dissipative-type conditions does apply. A similar scalar result has been studied by Majorana (1991). Useful examples of reflexive Banach spaces whose positive cones have empty interior has been given as well.
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https://doi.org/10.1155/2014/272479View
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