Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6826 (e) ISSN 0002-9939 (p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article

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
Retrieve article in: PDF DVI PostScript

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)


	Comments: webmaster@ams.org © Copyright 2008, American Mathematical Society Privacy Statement		Search the AMS