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Proceedings of the American Mathematical Society

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Geometrical properties of cones and the comparison of solutions of differential equations


Author: Yuly A. Saet
Journal: Proc. Amer. Math. Soc. 88 (1983), 533-536
MSC: Primary 47H07; Secondary 34G99, 34K30
DOI: https://doi.org/10.1090/S0002-9939-1983-0699428-4
MathSciNet review: 699428
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Abstract: We introduce here certain geometrical concepts related to the properties of cones in Banach spaces and show that these definitions are realizable. Then the results on the comparison of solutions are formulated where the ordering is introduced by means of a cone which is not required to be solid.


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DOI: https://doi.org/10.1090/S0002-9939-1983-0699428-4
Keywords: Cone in Banach space, positive solution, differential inequality
Article copyright: © Copyright 1983 American Mathematical Society