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Spectral asymptotics forhigher-order ordinary differential equations

Published online by Cambridge University Press:  01 May 1997

C Bennewitz  and
AD Wood
C Bennewitz
Affiliation:
Department of Mathematics, University of Lund, Box 118, S-221 00 Lund, Sweden
AD Wood
Affiliation:
School of Mathematical Sciences, Dublin City University, Dublin 9, Ireland
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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.

1991 Mathematics Subject Classification: 34B24, 34E05.

Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 74 , Issue 3 , May 1997 , pp. 612 - 632
Copyright
© London Mathematical Society 1997

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