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Proceedings of the American Mathematical Society

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

 

 

Linear differential equations with interval spectrum


Author: Russell A. Johnson
Journal: Proc. Amer. Math. Soc. 80 (1980), 90-94
MSC: Primary 34C10; Secondary 54H20
DOI: https://doi.org/10.1090/S0002-9939-1980-0574514-5
MathSciNet review: 574514
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Abstract: Let E be the set of equations in the hull of a fixed two-dimensional, almost-periodic, linear differential equation with interval spectrum which admit a bounded solution. Among other things, we prove that E is of first category and of measure zero.


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DOI: https://doi.org/10.1090/S0002-9939-1980-0574514-5
Article copyright: © Copyright 1980 American Mathematical Society