Convexity, boundedness, and almost periodicity for differential equations in Hillbert space
oleh: Jerome A. Goldstein
| Format: | Article |
|---|---|
| Diterbitkan: | Wiley 1979-01-01 |
Deskripsi
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.