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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Two remarks on global solutions of ordinary differential equations in the real line


Author: Giovanni Vidossich
Journal: Proc. Amer. Math. Soc. 55 (1976), 111-115
MSC: Primary 34A10
DOI: https://doi.org/10.1090/S0002-9939-1976-0470291-6
MathSciNet review: 0470291
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Abstract: We prove two theorems concerning global solutions of initial and terminal value problems: a criteria for the existence of maximal and minimal solutions, as well as the connectedness of the set of solutions without any assumption but the Carathéodory hypotheses.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0470291-6
Keywords: Cauchy problem, terminal value problem, global solution, maximal and minimal solution, connectedness of the set of solutions, Carathéodory hypotheses
Article copyright: © Copyright 1976 American Mathematical Society