Pseudo almost periodic solutions for a class of nonlinear Duffing system with a deviating argument
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, vol.49, pp.233-242, 2015 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 49
- Publication Date: 2015
- Doi Number: 10.1007/s12190-014-0835-9
- Journal Name: JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.233-242
- Van Yüzüncü Yıl University Affiliated: Yes
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.