Spectral asymptotics for higher-order ordinary differential equations

Summary, in English

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: Christer Bennewitz; Alistair D. Wood
• Department/s: Mathematics (Faculty of Sciences)
• Publishing year: 1997
• Language: English
• Pages: 612-632
• Publication/Series: Proceedings of the London Mathematical Society
• Volume: 74
• Issue: 3
• Links: http://plms.oxfordjournals.org/cgi/content/abstract/74/3/612; http://dx.doi.org/10.1112/S0024611597000208
• Document type: Journal article
• Publisher: LONDON MATH SOC, BURLINGTON HOUSE PICCADILLY, LONDON, ENGLAND W1V 0NL
• Topic: Mathematics
• Status: Published
• ISBN/ISSN/Other: ISSN: 0024-6115