Abstract:

Using a new technique of treating nonlinear diffusion term and impulsive delay differential inequalities, the authors studied the oscillation problems for a class of delay parabolic systems with impulse effect and nonlinear diffusion term under first boundary condition and some new sufficient conditions are established for the oscillation of all solutions of such systems. The results obtained fully indicate that the system oscillation is caused by the effect of impulse and delay.

Key words: impulse effect, parabolic system, oscillation, nonlinear diffusion term, delay