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Constructing ω-free Hardy fields
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DOI：10.1007/s11854-026-0447-y.png)
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Abstract
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We show that every Hardy field extends to an omega-free Hardy field. This result relates to classical oscillation criteria for second-order homogeneous linear differential equations. It is essential in [10], and here we apply it to answer questions of Boshernitzan, and to generalize a theorem of his.
Keywords:
DIFFERENTIAL-EQUATIONS
ORDERS
Journal
J
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0.9
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62
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