Convexity, Boundedness, and Almost Periodicity for Differential Equations in Hilbert Space
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. © 1979, Hindawi Publishing Corporation. All rights reserved.
Publication Title
International Journal of Mathematics and Mathematical Sciences
Recommended Citation
Goldstein, J. (1979). Convexity, Boundedness, and Almost Periodicity for Differential Equations in Hilbert Space. International Journal of Mathematics and Mathematical Sciences, 2 (1), 1-13. https://doi.org/10.1155/S0161171279000016
