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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

Asymptotically constant linear systems

Author(s): Horst Behncke
Journal: Proc. Amer. Math. Soc. 138 (2010), 1387-1393.
MSC (2000): Primary 34E10
Posted: October 28, 2009
MathSciNet review: 2578530
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Abstract | References | Similar articles | Additional information

Abstract: The asymptotic integration of a linear system of differential equations $ y'(t) = (A(t) + R (t)) y(t)$ on the half line is investigated when $ A$ is almost constant with distinct eigenvalues. The difference equation analogue of this equation is also considered.


References:

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H. Behncke: Spectral Theory of Higher Order Differential Operators. Proc. London Math. Soc. (3), 92 (2006), 139-160. MR 2192387 (2007b:47109)

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H. Behncke, D.B. Hinton: Eigenfunctions, Deficiency Indices and Spectra of Odd-Order Differential Operators, Proc. London Math. Soc. (3), 97 (2008), 425-449. MR 2439668 (2009g:34216)

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H. Behncke: The Remainder in Asymptotic Integration, Proc. Amer. Math. Soc., 136 (2008), 3231-3238. MR 2407088 (2009c:34117)

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Z. Benzaid, D. A. Lutz: Asymptotic Representation of Solutions of Perturbed Systems of Linear Difference Equations, Stud. Appl. Math., 77 (1987), 195-221. MR 1002291 (90f:39003)

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S. Bodine: A Dynamical Systems Result on Asymptotic Integration of Linear Differential Systems, J. Diff. Eqn., 187 (2003), 1-22. MR 1946543 (2003m:34109)

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M. S. P. Eastham: The Asymptotic Solution of Linear Differential Systems, London Math. Soc. Monographs, The Clarendon Press, Oxford University Press, New York, 1989. MR 1006434 (91d:34001)

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N. Ju, S. Wiggins: On Roughness of Exponential Dichotomy, J. Math. Anal. Appl., 262 (2001), 39-49. MR 1857213 (2002g:34100)

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Additional Information:

Horst Behncke
Affiliation: Fachbereich Mathematik/Informatik, Universität Osnabrück, 49069 Osnabrück, Germany

DOI: 10.1090/S0002-9939-09-10146-6
PII: S 0002-9939(09)10146-6
Received by editor(s): May 13, 2009,
Received by editor(s) in revised form: July 31, 2009
Posted: October 28, 2009
Communicated by: Yingfei Yi
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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