Abstract
We consider the problem of determining the unknown term in the right-hand side of a second-order differential equation with unbounded operator generating a cosine operator function from the overspecified boundary data. We obtain necessary and sufficient conditions of the unique solvability of this problem in terms of location of the spectrum of the unbounded operator and properties of its resolvent.
| Original language | English |
|---|---|
| Pages (from-to) | 997-1005 |
| Number of pages | 9 |
| Journal | Abstract and Applied Analysis |
| Volume | 2004 |
| Issue number | 12 |
| DOIs | |
| State | Published - 28 Dec 2004 |