Convexity, boundedness, and almost periodicity for differential equations in Hillbert space

Jerome A. Goldstein

International Journal of Mathematics and Mathematical Sciences, 1979, vol. 2, 1-13

Abstract:

There are three kinds of results. First we extend and sharpen a convexity inequality of Agmon and Nirenberg for certain differential inequalities in Hilbert space. Next we characterize the bounded solutions of a differential equation in Hilbert space involving and arbitrary unbounded normal operator. Finally, we give a general sufficient condition for a bounded solution of a differential equation in Hilbert space to be almost periodic.

Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:283213

DOI: 10.1155/S0161171279000016

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