|
The remainder in asymptotic integration
Author(s):
Horst
Behncke
Journal:
Proc. Amer. Math. Soc.
136
(2008),
3231-3238.
MSC (2000):
Primary 34E10
Posted:
May 5, 2008
MathSciNet review:
2407088
Retrieve article in:
PDF
Abstract |
References |
Similar articles |
Additional information
Abstract:
Quantitative estimates for the remainder terms in Levinson's Theorem are provided. This gives a precise meaning to the idea that small perturbations should result in small remainder terms.
References:
-
- 1.
- H. Behncke, C. Remling: Asymptotic integration of linear differential equations. J. of Math. Analysis and Appl. 210 (1997) 585-597. MR 1453193 (98i:34012)
- 2.
- M.S.P. Eastham: The asymptotic solution of linear differential systems, in London Mathematical Society Monographs New Series, Vol. 4, Oxford Univ. Press, Oxford, 1989. MR 1006434 (91d:34001)
- 3.
- G. Okikiolu: ``Aspects of the Theory of Bounded Integral Operators in
 Spaces'', Academic Press, New York, 1971. MR 0445237 (56:3581)
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (2000):
34E10
Retrieve articles in all Journals with
MSC (2000):
34E10
Additional Information:
Horst
Behncke
Affiliation:
Fachbereich Mathematik/Informatik, Universität Osnabrück, Osnabrück D-49069, Germany
DOI:
10.1090/S0002-9939-08-09403-3
PII:
S 0002-9939(08)09403-3
Received by editor(s):
July 30, 2007
Posted:
May 5, 2008
Communicated by:
Carmen C. Chicone
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
|
