Oscillation Of Partial Differential Equations Of Neutral Type

This thesis is concerned with the oscillation of three class of partialdifferential equations of neutral type. In chapter one, the concept of oscillationand some knowledge are given. In chapter two, the forced oscillation of aclass of nonlinear neutral parabolic differential equations under two kinds ofboundary conditions is discussed by using the method of average and thedifferential inequality technique. Some suffcient conditions are established forthe oscillation and forced oscillation of all solutions of the equations and theseconditions are easily checked. In chapter three, the oscillation of a class ofhigher-order nonlinear neutral partial differential equations under Robin bound-ary condition is studied. The oscillatory problem of the equation is changed asthe existence of the positive solution of delay differential inequality by using themethod of vertical adding. Some suffcient conditions are established for theoscillation of all solutions of the equations by results on differential inequalityand analysis skill. In chapter four, the forced oscillation of a class of neutralimpulsive parabolic differential equations under Robin boundary condition isdiscussed. Some useful criteria are established for the oscillation of all solu-tions of the equations via first order impulsive differential inequalities with delay.