Abstract
This paper is concerned with a nonlinear Duffing system with pseudo almost periodic coefficients and delay. Under proper conditions, by using theory of exponential dichotomies and contraction mapping principle, some sufficient conditions are established to ensure the existence and uniqueness of pseudo almost periodic solutions, which improve and extend some known relevant results. Moreover, an example is given to illustrate the theoretical results.
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Acknowledgments
The authors would like to express their sincere appreciation to the reviewers for their helpful comments in improving the presentation and quality of the paper. This research was completed with the support of “The Scientific and Technological Research Council of Turkey”, (2221—Fellowships for Visiting Scientists and Scientists on Sabbatical Leave—2013/2012.period), while the corresponding author was a visiting scholar at Yüzüncü Yıl University, Van, Turkey. This work was also supported by the construct program of the key discipline in Hunan province (Mechanical Design and Theory).
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Liu, B., Tunç, C. Pseudo almost periodic solutions for a class of nonlinear Duffing system with a deviating argument. J. Appl. Math. Comput. 49, 233–242 (2015). https://doi.org/10.1007/s12190-014-0835-9
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DOI: https://doi.org/10.1007/s12190-014-0835-9
Keywords
- Pseudo almost periodic solution
- Duffing system
- Exponential dichotomy
- Contraction mapping principle
- Deviating argument