The spectra of general differential operators in the direct sum spaces

Title:

The spectra of general differential operators in the direct sum spaces

Creator:

Ibrahim, Sobhy El-sayed

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:6ceae4e4-d4e9-4783-9c7e-e03d54449f56
uuid:6ceae4e4-d4e9-4783-9c7e-e03d54449f56

Subject:

quasi-differential expressions, essential spectra, joint field of regularity, regularly solvable operators, and direct sum spaces

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper, the general ordinary quasi-differential expression $M_p$ of $n$-th order with complex coefficients and its formal adjoint $M_p^+$ on any finite number of intervals $I_p=(a_p,b_p)$, $p=1,\dots ,N$, are considered in the setting of the direct sums of $L_{w_p}^2(a_p,b_p)$-spaces of functions defined on each of the separate intervals, and a number of results concerning the location of the point spectra and the regularity fields of general differential operators generated by such expressions are obtained. Some of these are extensions or generalizations of those in a symmetric case in [1], [14], [15], [16], [17] and of a general case with one interval in [2], [11], [12], whilst others are new.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

9-29

Source:

Czechoslovak Mathematical Journal | 2004 Volume:54 | Number:1

Harvested from:

CDK

Metadata only:

false