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Oscillation Properties of Solutions for Nonlinear Parabolic Differential Equations of Neutral Type

Ren Chongxun~1 Chen Taidao~1 Yu Yuanhong~2 (1.Dept.of math.;Qiongzhou University Wuzhishan City 572200 2.Inst;of Appl.Math.;Academia Sinica Beijing 100080)

  In this paper nonlinear parabolic differential equations of neutral type are studied and sufficient conditions are given for all solutions of some boundary value problems to be oscillatory in a cylindrical domain.The principal tool employed is an averaging technique which enables one to establish oscillation properties in temps of related functional differential inequalities. 1980 Mathematical Subject Clarifications(1985 Revision):Primary 35K20; Secondary 35R10.……