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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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3934605 | PMC |
| http://dx.doi.org/10.1155/2014/272479 | DOI Listing |
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