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Proceedings of the American Mathematical Society

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

 

 

An intermediate value property


Authors: John L. Gamlen and James S. Muldowney
Journal: Proc. Amer. Math. Soc. 51 (1975), 413-420
MSC: Primary 34K05; Secondary 47H99
DOI: https://doi.org/10.1090/S0002-9939-1975-0374596-8
MathSciNet review: 0374596
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Abstract: An intermediate value property is shown to hold for monotone perturbations of maps which have this property. Applications are given to initial value problems and boundary value problems for functional differential equations.


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DOI: https://doi.org/10.1090/S0002-9939-1975-0374596-8
Keywords: Intermediate value property, initial value problems, boundary value problems
Article copyright: © Copyright 1975 American Mathematical Society