Oscillation and strong oscillation for impulsive neutral parabolic differential systems with delays

Abstract

In respect that, in practical systems, we usually merely consider oscillation while strong oscillation is sometimes ignored which is also of wide applied background, this paper presents some results of the oscillation and strong oscillation of impulsive neutral parabolic differential systems with delays. Some criteria on the oscillation and strong oscillation are established by using analytical techniques. It is shown that, for impulsive parabolic differential systems with delays, although strong oscillation has more restriction than oscillation, the result of strong oscillation can be parallel to that of oscillation under certain conditions. © Springer-Verlag Berlin Heidelberg 2005.