Faierman, Melvin and Mennicken, Reinhard and Möller, Manfred (1999) The essential spectrum of a system of singular ordinary differential operators of mixed order. Part I: The general problem and an almost regular case. MATHEMATISCHE NACHRICHTEN, 208 (1). pp. 101-115. ISSN 0025-584X, 1522-2616
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A system of ordinary differential operators of mixed order on an interval (0, r(o)), r(o) > 0, is considered, where the coefficients may be singular at 0. A special case has been dealt with by KAKO where the essential spectrum of an operator associated with a linearized magnetohydrodynamic equation was explicitly calculated. In the present first:part of:the paper we study an almost regular special case which can be treated by the operator theoretical methods developed by ATKINSON, LANGER, MENNICKEN and SHKALIKOV. A closed linear operator is associated with the given system of differential operators and its essential spectrum is explicitly characterized in terms of the coefficients of these differential operators.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | essential spectrum; mixed order ODE systems; MHD |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 01 Dec 2022 05:13 |
| Last Modified: | 01 Dec 2022 05:13 |
| URI: | https://pred.uni-regensburg.de/id/eprint/48696 |
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