Precompactness of the Set of Trajectories of the Controllable System Described by a Nonlinear Volterra Integral Equation
MATHEMATICAL MODELLING AND ANALYSIS, cilt.17, sa.5, ss.686-695, 2012 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 17 Sayı: 5
- Basım Tarihi: 2012
- Doi Numarası: 10.3846/13926292.2012.736088
- Dergi Adı: MATHEMATICAL MODELLING AND ANALYSIS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.686-695
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Sivas Cumhuriyet Üniversitesi Adresli: Hayır
Özet
In this paper the controllable system whose behaviour is described by a nonlinear Volterra integral equation, is studied. The set of admissible control functions is the closed ball of the space L-p (p > 1) with radius mu(0) and centered at the origin. It is shown that the set of trajectories of the system is a bounded and pre-compact subset of the space of continuous functions.