Almost periodic solutions for undamped nonhomogeneous delay-differential equations
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- by George Seifert PDF
- Proc. Amer. Math. Soc. 130 (2002), 2001-2005 Request permission
Abstract:
We first establish a result giving conditions that certain undamped delay differential equations with almost periodic time dependence have unique almost periodic solutions. Using this result we obtain conditions that a second order scalar nonlinear delay differential equation with almost periodic forcing will have a unique almost periodic solution having saddle-type stability properties. These results use the method of averaging.References
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Additional Information
- George Seifert
- Affiliation: Department of Mathematics, Iowa State University, Ames, Iowa 50011
- Email: gseifert@iastate.edu
- Received by editor(s): February 14, 2000
- Received by editor(s) in revised form: January 22, 2001
- Published electronically: November 15, 2001
- Communicated by: Carmen C. Chicone
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 2001-2005
- MSC (2000): Primary 34K14
- DOI: https://doi.org/10.1090/S0002-9939-01-06279-7
- MathSciNet review: 1896034