CONVERGENCE OF REGULAR APPROXIMATIONS TO THE SPECTRA OF SINGULAR 4TH-ORDER STURM-LIOUVILLE PROBLEMS

Authors
BROWN M GREENBERG L MARLETTA M
Citation
M. Brown et al., CONVERGENCE OF REGULAR APPROXIMATIONS TO THE SPECTRA OF SINGULAR 4TH-ORDER STURM-LIOUVILLE PROBLEMS, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 128, 1998, pp. 907-944
Citations number
17
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics → ACNP
ISSN journal
03082105
Volume
128
Year of publication
1998
Part
5
Pages
907 - 944
Database
ISI
SICI code
0308-2105(1998)128:<907:CORATT>2.0.ZU;2-P
Abstract
We prove some new results which justify the use of interval truncation as a means of regularising a singular fourth-order Sturm-Liouville pr oblem near a singular endpoint. Of particular interest are the results in the so-called lim-3 case, which has no analogue in second-order si ngular problems.