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Search: MSC category 34L05 ( General spectral theory )

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1. CMB 1998 (vol 41 pp. 23)

Clemence, Dominic P.
Subordinacy analysis and absolutely continuous spectra for Sturm-Liouville equations with two singular endpoints
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.

Categories:34L05, 34B20, 34B24

2. CMB 1997 (vol 40 pp. 416)


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