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Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007)
Periodic solution for a class of higher-dimension impulsive functional differential equations with parameter
Haier International Training Center, Qingdao, China
July 30-August 01
ISBN: 0-7695-2909-7
J. G. Yin, Naval Aeronautical Engineering Institute, China
M. J. Gai, Naval Aeronautical Engineering Institute, China
G. Zhou, Naval Aeronautical Engineering Institute, China
X. H. Hou, Ludong University, China
In this paper, by employing a fixed-point theorem in cones, we study a kind of higher-dimension impulsive functional differential equation with parameter as follows:

x' = A\left( t \right)x\left( t \right) + \lambda f\left( {t,x_t } \right),t \ne \tau _k ,

\Delta x|_{t = \tau _k } = I_k \left( {x\left( {\tau _k } \right)} \right),t = \tau _k ,k \in Z_+.

some results on the existence of periodic solutions are obtained.
Citation:
J. G. Yin, M. J. Gai, G. Zhou, X. H. Hou, "Periodic solution for a class of higher-dimension impulsive functional differential equations with parameter," snpd, vol. 3, pp.62-66, Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007), 2007
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