Spectral asymptotics for higher-order ordinary differential equations
(1997) In Proceedings of the London Mathematical Society 74(3). p.612-632- Abstract
- This paper gives one-term componentwise asymptotics for the M and spectral matrices of a self-adjoint realisation of an even-order ordinary differential expression. The underlying interval is assumed to have at least one regular endpoint, and the boundary conditions are supposed to be separated. Furthermore, the weight function and the reciprocal of the highest-order coefficient are supposed to be of regular variation at the regular endpoint, in the sense of Bingham, Goldie and Teugels.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/932313
- author
- Bennewitz, Christer LU and Wood, Alistair D.
- organization
- publishing date
- 1997
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Proceedings of the London Mathematical Society
- volume
- 74
- issue
- 3
- pages
- 612 - 632
- publisher
- LONDON MATH SOC, BURLINGTON HOUSE PICCADILLY, LONDON, ENGLAND W1V 0NL
- external identifiers
-
- scopus:0345043910
- ISSN
- 0024-6115
- DOI
- 10.1112/S0024611597000208
- language
- English
- LU publication?
- yes
- id
- 966f3366-d63c-4f2b-b596-90e3a306d403 (old id 932313)
- alternative location
- http://plms.oxfordjournals.org/cgi/content/abstract/74/3/612
- date added to LUP
- 2016-04-04 08:39:34
- date last changed
- 2022-01-29 03:48:19
@article{966f3366-d63c-4f2b-b596-90e3a306d403, abstract = {{This paper gives one-term componentwise asymptotics for the M and spectral matrices of a self-adjoint realisation of an even-order ordinary differential expression. The underlying interval is assumed to have at least one regular endpoint, and the boundary conditions are supposed to be separated. Furthermore, the weight function and the reciprocal of the highest-order coefficient are supposed to be of regular variation at the regular endpoint, in the sense of Bingham, Goldie and Teugels.}}, author = {{Bennewitz, Christer and Wood, Alistair D.}}, issn = {{0024-6115}}, language = {{eng}}, number = {{3}}, pages = {{612--632}}, publisher = {{LONDON MATH SOC, BURLINGTON HOUSE PICCADILLY, LONDON, ENGLAND W1V 0NL}}, series = {{Proceedings of the London Mathematical Society}}, title = {{Spectral asymptotics for higher-order ordinary differential equations}}, url = {{http://dx.doi.org/10.1112/S0024611597000208}}, doi = {{10.1112/S0024611597000208}}, volume = {{74}}, year = {{1997}}, }