Title :
Oscillation of Impulsive Neutral Difference Equations with Continuous Variable
Author_Institution :
North China Electr. Power Univ., Baoding
Abstract :
Based on constructing function, it is proved that the oscillation of impulsive neutral difference equation with continuous variable is equivalent to the oscillation of neutral difference equation with continuous variable without impulsive. One necessary and sufficient condition of oscillation is obtained. Some simple criteria of oscillation for impulsive neutral difference equation with continuous variable are gained using the proved results. The existed results are improved.
Keywords :
difference equations; oscillations; constructing function; continuous variable; impulsive neutral difference equations; necessary condition; oscillation; sufficient condition; Convergence; Cybernetics; Difference equations; Machine learning; Mathematics; Physics; Stability; Sufficient conditions; Continuous variable; Impulsive; Neutral difference equation; Oscillation;
Conference_Titel :
Machine Learning and Cybernetics, 2007 International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-0973-0
Electronic_ISBN :
978-1-4244-0973-0
DOI :
10.1109/ICMLC.2007.4370591