Linear problems for systems of difference equations
Zdzisław Denkowski (1970)
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...
Wang, Wu-Sheng (2009)
Advances in Difference Equations [electronic only]
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Z. Kowalski (1965)
Annales Polonici Mathematici
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Tadeusz Rumak (1972)
Annales Polonici Mathematici
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M. Stojaković (1969)
Matematički Vesnik
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S. P. Hastings (1967)
Annales Polonici Mathematici
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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.
Young-Ho Kim (2005)
Czechoslovak Mathematical Journal
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In this paper we establish some new nonlinear difference inequalities. We also present an application of one inequality to certain nonlinear sum-difference equation.
Jaroslav Janko (1948)
Aktuárské vědy
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Choi, Sung Kyu, Koo, Namjip (2010)
Journal of Inequalities and Applications [electronic only]
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