Spectral asymptotics for higher-order ordinary differential equations

Christer Bennewitz, Alistair D. Wood

Research output: Contribution to journalArticlepeer-review

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.
Original languageEnglish
Pages (from-to)612-632
JournalProceedings of the London Mathematical Society
Volume74
Issue number3
DOIs
Publication statusPublished - 1997

Subject classification (UKÄ)

  • Mathematical Sciences

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