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

N. Chernyavskaya; L. Shuster

doi:10.1090/s0002-9939-99-05049-2

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

N. Chernyavskaya, L. Shuster

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

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.

Original language	English
Pages (from-to)	1413-1426
Number of pages	14
Journal	Proceedings of the American Mathematical Society
Volume	127
Issue number	5
DOIs	https://doi.org/10.1090/s0002-9939-99-05049-2
State	Published - 1 Jan 1999

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.1090/s0002-9939-99-05049-2

Cite this

@article{35344c798791498188a921cbb68dbe0b,

title = "Estimates for the green function of a general Sturm-Liouville operator and their applications",

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.",

author = "N. Chernyavskaya and L. Shuster",

year = "1999",

month = jan,

day = "1",

doi = "10.1090/s0002-9939-99-05049-2",

language = "English",

volume = "127",

pages = "1413--1426",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "5",

}

TY - JOUR

T1 - Estimates for the green function of a general Sturm-Liouville operator and their applications

AU - Chernyavskaya, N.

AU - Shuster, L.

PY - 1999/1/1

Y1 - 1999/1/1

N2 - For a general Sturm-Liouville operator with nonnegative coefficients, we obtain two-sided estimates for the Green function, sharp by order on the diagonal.

AB - For a general Sturm-Liouville operator with nonnegative coefficients, we obtain two-sided estimates for the Green function, sharp by order on the diagonal.

UR - http://www.scopus.com/inward/record.url?scp=22644451636&partnerID=8YFLogxK

U2 - 10.1090/s0002-9939-99-05049-2

DO - 10.1090/s0002-9939-99-05049-2

M3 - Article

AN - SCOPUS:22644451636

SN - 0002-9939

VL - 127

SP - 1413

EP - 1426

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 5

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this