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EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF PERIODIC SOLUTION OF A CLASS OF IMPULSIVE NETWORKS WITH INFINITE DELAYS

YONGHUI XIA

College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350002, China

Corresponding author.

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JINDE CAO

Department of Mathematics, Southeast University, Nanjing 210096, China

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, and

MUREN LIN

College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350002, China

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https://doi.org/10.1142/S0129065707000506Cited by:4 (Source: Crossref)

Abstract

Sufficient conditions are obtained for the existence and global exponential stability of a unique periodic solution of a class of impulsive tow-neuron networks with variable and unbounded delays. The approaches are based on Mawhin's continuation theorem of coincidence degree theory and Lyapunov functions.

This work was supported by the Foundation of Developing Science and Technology of Fuzhou University under Grant No. 0030824594 and the Foundation of Education of Fujian, China under Grant No. JB03059, and the National Natural Science Foundation of China under Grant Nos. 60574043 and 60373067.

Keywords:

AMSC: 34K20, 34K13, 92B20

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