On a theorem of Favard
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- by Zuosheng Hu and Angelo B. Mingarelli PDF
- Proc. Amer. Math. Soc. 132 (2004), 417-428 Request permission
Abstract:
We obtain sufficient conditions for the existence of almost periodic solutions of almost periodic linear differential equations thereby extending Favard’s classical theorem. These results are meant to complement previous results of the authors who have shown by means of a counterexample that the boundedness of all solutions is not, by itself, sufficient to guarantee the existence of an almost periodic solution to a linear almost periodic differential equation.References
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Additional Information
- Zuosheng Hu
- Affiliation: School of Mathematics and Statistics, Carleton University, Ottawa, Ontario, Canada K1S 5B6
- Email: zhu@math.carleton.ca
- Angelo B. Mingarelli
- Affiliation: School of Mathematics and Statistics, Carleton University, Ottawa, Ontario, Canada K1S 5B6
- Email: amingare@math.carleton.ca
- Received by editor(s): January 30, 2002
- Received by editor(s) in revised form: June 20, 2002, September 11, 2002, and September 30, 2002
- Published electronically: September 11, 2003
- Additional Notes: This research was partially supported by a research grant from NSERC Canada
- Communicated by: Carmen C. Chicone
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 417-428
- MSC (2000): Primary 34A30, 34K14; Secondary 42A75
- DOI: https://doi.org/10.1090/S0002-9939-03-07166-1
- MathSciNet review: 2022364