Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007) Equivalence of the Oscillation of Two Coupled Difference Systems Haier International Training Center, Qingdao, China July 30-August 01 ISBN: 0-7695-2909-7
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/SNPD.2007.531
In this paper, we establish the equivalence of the oscillation of the following two coupled differential systems \Delta \left[ {x_i \left( n \right) - x_i \left( {n - \tau _i } \right)} \right] + p_i \left( n \right)f_i \left( {x_1 \left( {n - \tau _{i1} } \right), \cdot \cdot \cdot ,x_m \left( {n - \tau _{im} } \right)} \right) = 0 and \Delta ^2 y_i \left( {n - 1} \right) + \frac{{p_i (n)}} {{\tau _i }}f_i (y_1 (n), \cdot \cdot \cdot ,y_m (n)) = 0 where p_i (n): \mathbb{Z}^ + \to \mathbb{R}^ + , \tau _i \in \mathbb{Z}^ + ,\tau _{ij} \in \mathbb{Z} for i,j = 1, \cdot \cdot \cdot, m, f_i (u_1, \cdot \cdot \cdot, u_m) is nondecreasing in u_i for i = 1, \cdot \cdot \cdot, m and satisfies the following conditions { f_i (u_1, \cdot \cdot \cdot, u_m) \ge 0 if u_i \ge 0 for i = 1, \cdot \cdot \cdot, m, f_i (u_1, \cdot \cdot \cdot, u_m) \le 0 if u_i \le 0 for i = 1, \cdot \cdot \cdot, m.
Citation:
X. Y. Zeng, "Equivalence of the Oscillation of Two Coupled Difference Systems," snpd, vol. 2, pp.757-761, Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007), 2007 Usage of this product signifies your acceptance of the Terms of Use. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Digg
Furl
Spurl
Blink
Simpy
Google
Del.icio.us
Y!MyWeb