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.
Linear differential equations with interval spectrum / R. Johnson. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - STAMPA. - 80:(1980), pp. 90-94. [10.1090/S0002-9939-1980-0574514-5]
Linear differential equations with interval spectrum
JOHNSON, RUSSELL ALLAN
1980
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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