Pseudo almost periodic solutions for a class of nonlinear Duffing system with a deviating argument

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Atıf İçin Kopyala

LIU B., TUNÇ C.

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, cilt.49, ss.233-242, 2015 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 49
• Basım Tarihi: 2015
• Doi Numarası: 10.1007/s12190-014-0835-9
• Dergi Adı: JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
• Sayfa Sayıları: ss.233-242
• Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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.