Asymptotically Unpredictable Solutions of Quasilinear Impulsive Systems
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, cilt.75, sa.3, ss.383-400, 2026 (ESCI, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 75 Sayı: 3
- Basım Tarihi: 2026
- Doi Numarası: 10.31801/cfsuasmas.1682705
- Dergi Adı: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.383-400
- Anahtar Kelimeler: asymptotic stability, discontinuous asymptotically unpredictable functions, Impulsive differential equations, regular impulse moments
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- TED Üniversitesi Adresli: Evet
Özet
We propose the notion of piecewise continuous asymptotically unpredictable functions, and investigate the existence and uniqueness of such solutions in impulsive systems under sufficient conditions. This class of functions and the systems under discussion admit regular discontinuity moments. Some techniques for obtaining new piecewise continuous asymptotically unpredictable functions from a given one are provided. Even though piecewise continuous unpredictable functions are asymptotically unpredictable, it is demonstrated that the converse is not true. In other words, the set of discontinuous unpredictable functions is properly contained in the set of asymptotically unpredictable ones. Appropriate examples are given with regard to all theoretical results.