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Prof. Sobhy elsayed ibrahim elsayed :: Publications: |
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| Title: | 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 | Not Available |
| 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 ... |
