Oscillation Of Second Order Partial Functional Differential Equations

In this paper, we study the oscillatory behavior of the second order partialdifferential equations.In the first chapter, introduces the background of the problem-researching andthe recent development of the research in this field.In chapter two, some sufficient conditions for oscillation and nonoscillation areobtained for certain second order neutral hyperbolic partial functional differentialequation with the homogeneeous Dirichlet, Neumann and Robin's boundary condi-tions. Our results complement the deficiency in existing literature.In chapter three, using averaging functions and integral operator, we derive newinterval criteria for oscillation of second order delay partial differential equations.These results are different from most known ones in the sense that they are basedon information only on a sequence of subintervals of [0,∞), rather than on the whole[0,∞). Our results are of a high degree of generality and improve or extend the relatedresults in the literatures.Some examples given in the paper illuminate the effect and sharp conditions ofour results.