Proceedings of the American Mathematical Society

Estimates for the Green function of a general Sturm-Liouville operator and their applications

Author(s): N. Chernyavskaya; L. Shuster
Journal: Proc. Amer. Math. Soc. 127 (1999), 1413-1426.
MSC (1991): Primary 34B27
Posted: January 29, 1999
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Abstract: For a general Sturm-Liouville operator with nonnegative coefficients, we obtain two-sided estimates for the Green function, sharp by order on the diagonal.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 34B27

N. Chernyavskaya
Affiliation: Department of Mathematics and Computer Science, Ben-Gurion University of the Negev, P.O.B. 653, Beer-Sheva, 84105, Israel

L. Shuster
Affiliation: Department of Mathematics and Computer Science, Bar-Ilan University, Ramat-Gan 52900, Israel

DOI: 10.1090/S0002-9939-99-05049-2
PII: S 0002-9939(99)05049-2
Received by editor(s): August 21, 1997
Posted: January 29, 1999
Additional Notes: Research of the first author supported by the Israel Academy of Sciences, under Grant 431/95.
Research of the second author supported by the Israel Academy of Sciences, under Grant 505/95.
Communicated by: Hal L. Smith
Copyright of article: Copyright 1999, American Mathematical Society

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