A limit-point criterion for a class of Sturm-Liouville operators defined in spaces

Author:
R. C. Brown

Journal:
Proc. Amer. Math. Soc. **132** (2004), 2273-2280

MSC (2000):
Primary 47E05, 34C11, 34B24; Secondary 34C10

DOI:
https://doi.org/10.1090/S0002-9939-04-07471-4

Published electronically:
March 25, 2004

MathSciNet review:
2052403

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Abstract | References | Similar Articles | Additional Information

Abstract: Using a recent result of Chernyavskaya and Shuster we show that the maximal operator determined by on , , where and the mean value of computed over all subintervals of of a fixed length is bounded away from zero, shares several standard ``limit-point at " properties of the case. We also show that there is a unique solution of that is in all , .

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Additional Information

**R. C. Brown**

Affiliation:
Department of Mathematics, University of Alabama, Tuscaloosa, Alabama 35487-0350

Email:
dbrown@gp.as.ua.edu

DOI:
https://doi.org/10.1090/S0002-9939-04-07471-4

Keywords:
Second-order differential operators of symmetric form in $L^p$ spaces,
correct solvability,
limit-point,
$L^p$ solutions

Received by editor(s):
December 18, 2002

Published electronically:
March 25, 2004

Communicated by:
Carmen C. Chicone

Article copyright:
© Copyright 2004
American Mathematical Society