Loading...
Please wait, while we are loading the content...
Similar Documents
Differential equations in Banach spaces
| Content Provider | Scilit |
|---|---|
| Author | Noussair, E. S. |
| Copyright Year | 1973 |
| Description | Let H be a fixed Hilbert space and B(H, H) be the Banach space of bounded linear operators from H to H with the uniform operator topology. Oscillation criteria are obtained for the operator differential equation where the coefficients A, C are linear operators from B(H, H) to B(H, H), for each t ≤ 0. A solution Y: $R^{+}$ → B(H, H) is said to be oscillatory if there exists a sequence of points $t_{i}$ ∈ $R^{+}$, so that $t_{i}$ → ∞ as i → ∞, and $Y(t_{i}$) fails to have a bounded inverse. The main theorem states that a solution Y is oscillatory if an associated scalar differential equation is oscillatory. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/02BBCD354554C3936B90966FA72CFC72/S0004972700043112a.pdf/div-class-title-differential-equations-in-banach-spaces-div.pdf |
| Ending Page | 226 |
| Page Count | 8 |
| Starting Page | 219 |
| ISSN | 00049727 |
| e-ISSN | 17551633 |
| DOI | 10.1017/s0004972700043112 |
| Journal | Bulletin of the Australian Mathematical Society |
| Issue Number | 2 |
| Volume Number | 9 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1973-10-01 |
| Access Restriction | Open |
| Subject Keyword | Bulletin of the Australian Mathematical Society Applied Mathematics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
