Systems of linear ordinary differential equations with bounded coefficients may have very oscillating solutions
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Abstract:
An elementary example shows that the number of zeroes of a component of a solution of a system of linear ordinary differential equations cannot be estimated through the norm of coefficients of the system.References
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Additional Information
- D. Novikov
- Affiliation: Department of Mathematics, Toronto University, Toronto, Ontario, Canada M5S 3G3
- Email: dmitry@math.toronto.edu
- Received by editor(s): July 31, 2000
- Received by editor(s) in revised form: September 11, 2000
- Published electronically: June 27, 2001
- Additional Notes: The author is grateful to S. Yakovenko for drawing his attention to this problem and for many stimulating discussions, and to C. Chicone for amelioration of the final text. This research was supported by the Killam grant of Prof. Milman.
- Communicated by: Carmen C. Chicone
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 3753-3755
- MSC (1991): Primary 34C10, 34M10; Secondary 34C07
- DOI: https://doi.org/10.1090/S0002-9939-01-06120-2
- MathSciNet review: 1860513