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A note on a paper of Atkinson concerning the asymptotics of an eigenvalue problem with interior singularity
- Source :
- Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 110:63-71
- Publication Year :
- 1988
- Publisher :
- Cambridge University Press (CUP), 1988.
-
Abstract
- SynopsisIn [2] Atkinson considers the asymptotic form of the eigenvalues of the linear differentialequationwhere a < 0 < b and y satisfies appropriate conditions at a andb. In particular Atkinson considers where q is singular at 0. In this case q(x) = xK, his results cover the case l ≦ K < . We extend Atkinson's results to cover more singular q, in the power case 1 ≦K <
Details
- ISSN :
- 14737124 and 03082105
- Volume :
- 110
- Database :
- OpenAIRE
- Journal :
- Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Accession number :
- edsair.doi...........5c0fc8da938b6d608bb90513e17461f1