Spectral Asymptotics for Higher-Order Ordinary Differential Equations |
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Authors: | Bennewitz, C Wood, AD |
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Affiliation: | Department of Mathematics, University of Lund Box 118, S-221 00 Lund, Sweden School of Mathematical Sciences, Dublin City University Dublin 9, Ireland |
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Abstract: | This paper gives one-term componentwise asymptotics for theM and spectral matrices of a self-adjoint realisation of aneven-order ordinary differential expression. The underlyinginterval is assumed to have at least one regular endpoint, andthe boundary conditions are supposed to be separated. Furthermore,the weight function and the reciprocal of the highest-ordercoefficient are supposed to be of regular variation at the regularendpoint, in the sense of Bingham, Goldie and Teugels. 1991Mathematics Subject Classification: 34B24, 34E05. |
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