论文信息 - CONVEXITY, BOUNDEDNESS,ANDALMOST PERIODICITY FOR DIFFERENTIAL EQUATIONS IN HILBERTSPACE

CONVEXITY, BOUNDEDNESS,ANDALMOST PERIODICITY FOR DIFFERENTIAL EQUATIONS IN HILBERTSPACE

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

Jerome A. Goldstein

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