IJPAM: Volume 37, No. 1 (2007)

OSCILLATION CRITERIA FOR SECOND ORDER
IMPULSIVE DIFFERENCE EQUATIONS WITH DELAY

Jianjun Jiao$^1$Department of Mathematics and Statistics, Guizhou College of Finance and Economics, Guizhou, 550004, P.R. CHINA, Lansun Chen$^2$
$^{1,2}$Department of Applied Mathematics
Dalian University of Technology
Dalian, 116024, P.R. CHINA
$^1$Department of Mathematics and Statistics
Guizhou College of Finance and Economics
Guizhou, 550004, P.R. CHINA
e-mail: jiaojianjun05@126.com


Abstract.In this paper, we are concerned with the oscillation criteria of second order impulsive difference equation with delay. By using the discrete vision of impulsive inequality and mathematical analytical techniques, sufficient conditions of oscillation of impulsive delay difference equations are obtained. Some examples are also inserted to illustrate the effect of impulses.

Received: February 27, 2007

AMS Subject Classification: 35B05, 47A10

Key Words and Phrases: oscillation, impulses, second order, delay difference equation

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 37
Issue: 1