Oscillation of systems of nonlinear neutral hyperbolic partial functional differential equations

The oscillation for a class of systems of neutral hyperbolic functional partial differential equations with nonlinear diffusion coefficient were studied.Some sufficient criteria were obtained for oscillation of all solutions of such systems under first boundary value conditions by employing Gauss′ divergence theorem,the integral inequalities and some results of the functional differential equations.The results fully indicate that the oscillation were caused by delay and hence,also revealed the essential differences between these systems and those systems of ordinary hyperbolic partial differential equations.