| publication name | On the product of singular differential operators with their essential spectra in direct sum space |
|---|---|
| Authors | Sobhy El-sayed Ibrahim |
| year | 2015 |
| keywords | Productofdifferentialexpressions,regularlysolvableandwell-poseddifferentialoperators,essentialspectra, Hilbert-Schmidt integral operators. |
| journal | Journal| MESA |
| volume | 6 |
| issue | 1 |
| pages | 101-118 |
| publisher | Not Available |
| Local/International | International |
| Paper Link | Not Available |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
We consider the product of general quasi-differential expressions τ1, τ2,..., τn each of order n with complex coefficients and their formal adjoints on the interval (a, b). It is shown in direct sum spaces L2 w (Ip), p= 1,..., N of functions defined on each of the separate intervals with the case of one singular end-points and when all solutions of the equation [Πn j= 1τj− λw] u= 0 and its adjoint [Πn j= 1τ+ j− λ w] v= 0 are in L2 w (a, b)(the limit circle case) that all well-posed extensions of the minimal operator T0 (τ1, τ2,..., τn) have resolvents ...