Chinese Quarterly Journal of Mathematics ›› 2005, Vol. 20 ›› Issue (4): 342-349.

Previous Articles     Next Articles

Oscillation of Solutions of Nonlinear Neutral Parabolic Differential Equations

  

  1. 1. Department of Mathematics, Nanyang Teacher's College, Nanyang 473061, China; 2. School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China
  • Received:2003-12-29 Online:2005-12-30 Published:2024-01-02
  • About author:LlU Ke-ying(1978-),female,native of Fangcheng,Henan,an assistant of Nanyang Teacher's College,engages in partial differential equations.
  • Supported by:
     Supported by the National Natural Science Foundation of China(40373003, 40372121); Supported by the Youth Foundation of Cina University of Geosciences(CUGQNL0517);

Abstract: This paper deals with the oscillatory properties of a class of nonlinear neutral parabolic partial differential equations with several delays. Sufficient criteria for the equation to be oscillatory are obtained by making use of some results of first-order functional differential inequalities. These results fully reveal the essential difference between this type and that without delays.

Key words: oscillation, delay, parabolic, nonlinear

CLC Number: