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

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...

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Bibliographic Details
Main Author: Jerome A. Goldstein
Format: Article
Language:English
Published: Wiley 1979-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171279000016
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