On the existence of a solution of a system ẋ= f(t, x) which remains in a given set
S. P. Hastings (1967)
Annales Polonici Mathematici
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S. P. Hastings (1967)
Annales Polonici Mathematici
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M. Stojaković (1969)
Matematički Vesnik
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Z. Kowalski (1965)
Annales Polonici Mathematici
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Zdzisław Denkowski (1970)
Annales Polonici Mathematici
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Kenichi Arai, Ken Wakabayashi, Hiroyuki Okazaki (2014)
Formalized Mathematics
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In [11], the definitions of forward difference, backward difference, and central difference as difference operations for functions on R were formalized. However, the definitions of forward difference, backward difference, and central difference for functions on vector spaces over F have not been formalized. In cryptology, these definitions are very important in evaluating the security of cryptographic systems [3], [10]. Differential cryptanalysis [4] that undertakes a general purpose...
Bo Li, Yan Zhang, Xiquan Liang (2006)
Formalized Mathematics
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In this article, we give the definitions of forward difference, backward difference, central difference and difference quotient, and some of their important properties.
Tadeusz Rumak (1972)
Annales Polonici Mathematici
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Zdzisław Denkowski (1970)
Annales Polonici Mathematici
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Yu. L. Maistrenko (1989)
Banach Center Publications
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Jaroslav Janko (1948)
Aktuárské vědy
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Ilia Krasikov, Jeffrey C. Lagarias (2003)
Acta Arithmetica
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