On the Pseudo Almost Automorphic Solutions for Li´enard -Type Systems with Multiple Delays
JOURNAL OF MATHEMATICAL EXTENSION, cilt.16, sa.9, ss.1-13, 2022 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 16 Sayı: 9
- Basım Tarihi: 2022
- Doi Numarası: 10.30495/jme.2022.1945
- Dergi Adı: JOURNAL OF MATHEMATICAL EXTENSION
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
- Sayfa Sayıları: ss.1-13
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Van Yüzüncü Yıl Üniversitesi Adresli: Evet
Özet
In this study, pseudo almost automorphic(PAA) solutions of
a Li´enard-type system with multiple delays are considered. By applying
the main features of PAA, Banach fixed point theorem and some differential inequalities, sufficient conditions for the existence and uniqueness
of such solutions are obtained . Since the PAA is more general than the
almost periodicity(AP) and pseudo almost periodicity(PAP), this work
is a new and complementary compared to previous studies. In addition,
an example is given to show the correctness of the created conditions.