Geodesic
Subordinacy Analysis and Absolutely Continuous Spectra for Sturm-Liouville Equations with Two Singular Endpoints
Canadian mathematical bulletin, Tome 41 (1998) no. 1, pp. 23-27

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DOI

The Gilbert-Pearson characterization of the spectrum is established for a generalized Sturm-Liouville equation with two singular endpoints. It is also shown that strong absolute continuity for the one singular endpoint problem guarantees absolute continuity for the two singular endpoint problem. As a consequence, we obtain the result that strong nonsubordinacy, at one singular endpoint, of a particular solution guarantees the nonexistence of subordinate solutions at both singular endpoints.
DOI : 10.4153/CMB-1998-005-6
Mots-clés : 34L05, 34B20, 34B24 
Clemence, Dominic P. Subordinacy Analysis and Absolutely Continuous Spectra for Sturm-Liouville Equations with Two Singular Endpoints. Canadian mathematical bulletin, Tome 41 (1998) no. 1, pp. 23-27. doi: 10.4153/CMB-1998-005-6
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     title = {Subordinacy {Analysis} and {Absolutely} {Continuous} {Spectra} for {Sturm-Liouville} {Equations} with {Two} {Singular} {Endpoints}},
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     year = {1998},
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     doi = {10.4153/CMB-1998-005-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-005-6/}
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