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The remainder in asymptotic integration II
Author(s):
Horst
Behncke
Journal:
Proc. Amer. Math. Soc.
138
(2010),
1633-1638.
MSC (2000):
Primary 34E10
Posted:
January 7, 2010
MathSciNet review:
2587447
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Abstract:
Levinson's Theorem in asymptotic integration of linear differential systems is strengthened in a quantitative way. It is shown that any decay in excess of absolute integrability appears with the remainder.
References:
-
- 1.
- H. Behncke, The Remainder in Asymptotic Integration, Proc. Amer. Math. Soc. 136 (2008), no. 9, 3231-3238. MR 2407088 (2009c:34117)
- 2.
- H. Behncke, C. Remling, Uniform Asymptotic Integration of a Family of Linear Differential Systems, Math. Nachr. 225 (2001), 5-17. MR 1827087 (2002d:34089)
- 3.
- E. A. Coddington, N. Levinson, Theory of Ordinary Differential Equations, McGraw-Hill, New York, 1955. MR 0069338 (16:1022b)
- 4.
- M.S.P. Eastham, The Asymptotic Solution of Linear Differential Systems, London Math. Society Monographs, New Series, Vol. 4, Oxford University Press, New York, 1989. MR 1006434 (91d:34001)
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Additional Information:
Horst
Behncke
Affiliation:
Fachbereich Mathematik/Informatik, University of Osnabruck, D-49069 Osnabruck, Germany
DOI:
10.1090/S0002-9939-10-09823-0
PII:
S 0002-9939(10)09823-0
Received by editor(s):
July 24, 2008
Posted:
January 7, 2010
Communicated by:
Bryna Kra
Copyright of article:
Copyright
2010,
American Mathematical Society
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