Atıf İçin Kopyala
Huseyin A., Huseyin N.
MATHEMATICAL MODELLING AND ANALYSIS, cilt.17, sa.5, ss.686-695, 2012 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
17
Sayı:
5
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Basım Tarihi:
2012
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Doi Numarası:
10.3846/13926292.2012.736088
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Dergi Adı:
MATHEMATICAL MODELLING AND ANALYSIS
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Sayfa Sayıları:
ss.686-695
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Anahtar Kelimeler:
nonlinear Volterra integral equation, controllable system, integral constraint, set of trajectories
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Anadolu Üniversitesi Adresli:
Evet
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.