The remainder in asymptotic integration
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- by Horst Behncke PDF
- Proc. Amer. Math. Soc. 136 (2008), 3231-3238 Request permission
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
- Horst Behncke and Christian Remling, Asymptotic integration of linear differential equations, J. Math. Anal. Appl. 210 (1997), no. 2, 585–597. MR 1453193, DOI 10.1006/jmaa.1997.5415
- M. S. P. Eastham, The asymptotic solution of linear differential systems, London Mathematical Society Monographs. New Series, vol. 4, The Clarendon Press, Oxford University Press, New York, 1989. Applications of the Levinson theorem; Oxford Science Publications. MR 1006434
- G. O. Okikiolu, Aspects of the theory of bounded integral operators in $L^{p}$-spaces, Academic Press, London-New York, 1971. MR 0445237
Additional Information
- Horst Behncke
- Affiliation: Fachbereich Mathematik/Informatik, Universität Osnabrück, Osnabrück D-49069, Germany
- Received by editor(s): July 30, 2007
- Published electronically: May 5, 2008
- Communicated by: Carmen C. Chicone
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 3231-3238
- MSC (2000): Primary 34E10
- DOI: https://doi.org/10.1090/S0002-9939-08-09403-3
- MathSciNet review: 2407088