Oscillatory Properties of Impulsive Partial Differential Systems With Delay
by
Xinzhi Liu
Dept of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

Impulsive partial differential systems can be successfully used for mathematical simulation in theoretical physics, chemistry, biotechnology, medicine, population dynamics, optimal control and in other processes and phenomena in science and technology. There has been an increasing interest in impulsive partial differential systems during the past few years. However, very little is known about the study of impulsive partial differential systems with delay. This paper will study a class of nonlinear impulsive parabolic systems with delay. We establish several oscillation criteria for such systems subject to two different boundary conditions by employing Gauss' divergence theorem and certain impulsive differential inequalities with delay.

Date received: March 19, 2003